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2 2 0 0 0 1 } {CSTYLE "" -1 240 "Times" 1 12 0 0 0 1 2 1 1 2 2 2 0 0 0 1 }{CSTYLE "" -1 241 "Times" 1 12 0 0 0 1 1 1 1 2 2 2 0 0 0 1 }{CSTYLE "" -1 242 "T imes" 1 12 0 0 0 1 1 1 2 2 2 2 0 0 0 1 }{CSTYLE "" -1 243 "Times" 1 12 0 0 0 1 2 1 1 2 2 2 0 0 0 1 }{CSTYLE "" -1 244 "Times" 1 12 0 0 0 1 2 1 1 2 2 2 0 0 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 245 0 "" }{TEXT 209 0 "" }{TEXT 210 8 "Name(s):" }{TEXT 211 0 "" }{TEXT 245 25 " (must be typewritt en)" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 206 "" 0 "" {TEXT 246 0 "" }}{PARA 209 "" 0 "" {TEXT 208 0 "" }{TEXT 208 0 "" }{TEXT 208 0 "" }{TEXT 208 0 "" }{TEXT 208 38 "Lab 04 - Sequences and Series in Maple" }{TEXT 208 0 "" }{TEXT 208 0 "" }}{PARA 206 "" 0 "" {TEXT 246 29 "You may wor k with ONE partner" }}{PARA 206 "" 0 "" {TEXT 212 5 "due: " }{TEXT 246 31 "Friday, September 25 at 8:00 am" }}{PARA 206 "" 0 "" {TEXT 246 9 "10 points" }}{PARA 206 "" 0 "" {TEXT 213 0 "" }{TEXT 246 0 "" } {TEXT 214 0 "" }{TEXT 215 31 "Upload your completed worksheet" }{TEXT 216 0 "" }{TEXT 246 1 " " }{TEXT 217 0 "" }{TEXT 218 24 "in Moodle wit h filename:" }}{PARA 206 "" 0 "" {TEXT 246 0 "" }{TEXT 219 10 "ma116La b04" }{TEXT 220 0 "" }{TEXT 221 9 "your-name" }{TEXT 246 0 "" }{TEXT 222 4 ".mws" }{TEXT 246 5 " (or " }{TEXT 223 3 ".mw" }{TEXT 246 1 ")" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }{TEXT 224 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 210 "" 0 "" {TEXT 208 24 "1. Some tips to follow:" }}{PARA 0 "" 0 "" {TEXT 245 77 " (a) You should save this file to your U: drive after click ing on the link" }}{PARA 0 "" 0 "" {TEXT 245 10 " " }{TEXT 225 96 "If it will NOT save, you can copy all your work and paste it i nto a MA Word document, to upload." }}{PARA 0 "" 0 "" {TEXT 245 133 " \+ (b) If your file doesn't open when you double-click on it, you can \+ start Maple first and then drag the icon for the file into it." }} {PARA 0 "" 0 "" {TEXT 245 3 " " }{TEXT 226 30 "(c) Maple is like th e movie, " }{TEXT 227 14 "50 First Dates" }{TEXT 228 240 ". When you \+ exit a Maple worksheet, and then re-open it, the memory is emptied, so even though you can still see a previous result in blue, Maple doesn' t have this in memory unless you re-execute the execution group or the entire worksheet." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 229 0 "" }{TEXT 208 0 "" }{TEXT 208 102 "2. Once you have opened this worksheet, do a \"Sav e\" to your U: drive, and then do them every so often" }{TEXT 208 0 "" }{TEXT 230 0 "" }{TEXT 208 1 "." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT 231 0 "" }{TEXT 208 0 "" }{TEXT 208 75 "3 . Determing the closed-form definition of a recursively defined seque nce." }{TEXT 232 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 13 "Consider the " }{TEXT 233 11 "recursively" }{TEXT 245 18 " defined sequence " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesett ing:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Typesettin g:-mrow(Typesetting:-msub(Typesetting:-mi(\"a\", italic = \"true\", ma thvariant = \"italic\"), Typesetting:-mrow(Typesetting:-mi(\"n\", ital ic = \"true\", mathvariant = \"italic\")), subscriptshift = \"0\"), Ty pesetting:-mo(\"=\", mathvariant = \"normal\", fence = \"false\", sepa rator = \"false\", stretchy = \"false\", symmetric = \"false\", largeo p = \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0.2777778em\", rspace = \"0.2777778em\"), Typesetting:-mrow(Typeset ting:-msub(Typesetting:-mi(\"a\", italic = \"true\", mathvariant = \"i talic\"), Typesetting:-mrow(Typesetting:-mi(\"\", italic = \"true\", m athvariant = \"italic\"), Typesetting:-mrow(Typesetting:-mi(\"n\", ita lic = \"true\", mathvariant = \"italic\"), Typesetting:-mo(\"−\" , mathvariant = \"normal\", fence = \"false\", separator = \"false\", \+ stretchy = \"false\", symmetric = \"false\", largeop = \"false\", mova blelimits = \"false\", accent = \"false\", lspace = \"0.2222222em\", r space = \"0.2222222em\"), Typesetting:-mn(\"1\", mathvariant = \"norma l\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic \")), subscriptshift = \"0\"), Typesetting:-mo(\"+\", mathvariant = \" normal\", fence = \"false\", separator = \"false\", stretchy = \"false \", symmetric = \"false\", largeop = \"false\", movablelimits = \"fals e\", accent = \"false\", lspace = \"0.2222222em\", rspace = \"0.222222 2em\"), Typesetting:-mn(\"5\", mathvariant = \"normal\")), Typesetting :-mi(\"\", italic = \"true\", mathvariant = \"italic\")), Typesetting: -mi(\"\", italic = \"true\", mathvariant = \"italic\"));" "-I%mrowG6#/ I+modulenameG6\"I,TypesettingGI(_syslibGF'6%-I#miGF$6%Q!F'/%'italicGQ% trueF'/%,mathvariantGQ'italicF'-F#6&-I%msubGF$6%-F,6%Q\"aF'F/F2-F#6#-F ,6%Q\"nF'F/F2/%/subscriptshiftGQ\"0F'-I#moGF$6-Q\"=F'/F3Q'normalF'/%&f enceGQ&falseF'/%*separatorGFM/%)stretchyGFM/%*symmetricGFM/%(largeopGF M/%.movablelimitsGFM/%'accentGFM/%'lspaceGQ,0.2777778emF'/%'rspaceGFfn -F#6%-F86%F:-F#6%F+-F#6%F?-FF6-Q(−F'FIFKFNFPFRFTFVFX/FenQ,0.2222 222emF'/FhnFeo-I#mnGF$6$Q\"1F'FIF+FB-FF6-Q\"+F'FIFKFNFPFRFTFVFXFdoFfo- Fho6$Q\"5F'FIF+F+" }{TEXT 245 9 " , where " }{XPPEDIT 18 0 "Typesettin g:-mrow(Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"itali c\"), Typesetting:-mrow(Typesetting:-msub(Typesetting:-mi(\"a\", itali c = \"true\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting :-mn(\"1\", mathvariant = \"normal\")), subscriptshift = \"0\"), Types etting:-mo(\"=\", mathvariant = \"normal\", fence = \"false\", separat or = \"false\", stretchy = \"false\", symmetric = \"false\", largeop = \"false\", movablelimits = \"false\", accent = \"false\", lspace = \" 0.2777778em\", rspace = \"0.2777778em\"), Typesetting:-mn(\"3\", mathv ariant = \"normal\")), Typesetting:-mi(\"\", italic = \"true\", mathva riant = \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_sy slibGF'6%-I#miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-F#6 %-I%msubGF$6%-F,6%Q\"aF'F/F2-F#6#-I#mnGF$6$Q\"1F'/F3Q'normalF'/%/subsc riptshiftGQ\"0F'-I#moGF$6-Q\"=F'FC/%&fenceGQ&falseF'/%*separatorGFN/%) stretchyGFN/%*symmetricGFN/%(largeopGFN/%.movablelimitsGFN/%'accentGFN /%'lspaceGQ,0.2777778emF'/%'rspaceGFgn-F@6$Q\"3F'FCF+" }{TEXT 245 6 " \+ for " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mi(\"\", italic \+ = \"true\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting:- mn(\"1\", mathvariant = \"normal\"), Typesetting:-mo(\"≤\", mathvar iant = \"normal\", fence = \"false\", separator = \"false\", stretchy \+ = \"false\", symmetric = \"false\", largeop = \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0.2777778em\", rspace = \+ \"0.2777778em\"), Typesetting:-mi(\"n\", italic = \"true\", mathvarian t = \"italic\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibG F'6%-I#miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-F#6%-I#m nGF$6$Q\"1F'/F3Q'normalF'-I#moGF$6-Q%≤F'F;/%&fenceGQ&falseF'/%*sepa ratorGFC/%)stretchyGFC/%*symmetricGFC/%(largeopGFC/%.movablelimitsGFC/ %'accentGFC/%'lspaceGQ,0.2777778emF'/%'rspaceGFR-F,6%Q\"nF'F/F2F+" } {TEXT 245 3 " ." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 " " 0 "" {TEXT 245 133 "Write the code for a \"for-loop\" below to store the first 10 terms in this sequence in an array, using the recursive \+ definition above." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 245 0 "" } {TEXT 234 0 "" }}{PARA 0 "" 0 "" {TEXT 245 12 "What is the " }{TEXT 235 11 "closed-form" }{TEXT 245 48 " (or explicit formula) for the seq uence above? " }{TEXT 236 0 "" }{TEXT 237 22 "BE SURE TO QUANTIFY n." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 208 7 "ANSWE R:" }{TEXT 208 0 "" }{TEXT 238 0 "" }}{PARA 0 "" 0 "" {TEXT 208 0 "" } }{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 245 170 "Check your answer by writing a loop to print out the first 10 ter ms of the sequence using your closed-form definition. You do NOT need to store these values in an array." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 " " {TEXT 245 0 "" }{TEXT 239 0 "" }}{PARA 0 "" 0 "" {TEXT 208 74 "4. D etermining the recursive definition of a sequence from a closed-form." }{TEXT 208 0 "" }{TEXT 240 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }} {PARA 0 "" 0 "" {TEXT 245 18 "Now, consider the " }{TEXT 241 11 "close d form" }{TEXT 245 11 " sequence " }{XPPEDIT 18 0 "Typesetting:-mrow( Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Ty pesetting:-mrow(Typesetting:-msub(Typesetting:-mi(\"b\", italic = \"tr ue\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting:-mi(\"n \", italic = \"true\", mathvariant = \"italic\")), subscriptshift = \" 0\"), Typesetting:-mo(\"=\", mathvariant = \"normal\", fence = \"false \", separator = \"false\", stretchy = \"false\", symmetric = \"false\" , largeop = \"false\", movablelimits = \"false\", accent = \"false\", \+ lspace = \"0.2777778em\", rspace = \"0.2777778em\"), Typesetting:-mrow (Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), T ypesetting:-mrow(Typesetting:-mn(\"3\", mathvariant = \"normal\"), Typ esetting:-mo(\"⁢\", mathvariant = \"normal\", fence = \+ \"false\", separator = \"false\", stretchy = \"false\", symmetric = \" false\", largeop = \"false\", movablelimits = \"false\", accent = \"fa lse\", lspace = \"0.0em\", rspace = \"0.0em\"), Typesetting:-mi(\"n\", italic = \"true\", mathvariant = \"italic\")), Typesetting:-mo(\"&min us;\", mathvariant = \"normal\", fence = \"false\", separator = \"fals e\", stretchy = \"false\", symmetric = \"false\", largeop = \"false\", movablelimits = \"false\", accent = \"false\", lspace = \"0.2222222em \", rspace = \"0.2222222em\"), Typesetting:-mn(\"1\", mathvariant = \" normal\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"i talic\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"it alic\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6%-I# miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-F#6&-I%msubGF$6 %-F,6%Q\"bF'F/F2-F#6#-F,6%Q\"nF'F/F2/%/subscriptshiftGQ\"0F'-I#moGF$6- Q\"=F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGFM/%)stretchyGFM/%*s ymmetricGFM/%(largeopGFM/%.movablelimitsGFM/%'accentGFM/%'lspaceGQ,0.2 777778emF'/%'rspaceGFfn-F#6&F+-F#6%-I#mnGF$6$Q\"3F'FI-FF6-Q1&Invisible Times;F'FIFKFNFPFRFTFVFX/FenQ&0.0emF'/FhnFeoF?-FF6-Q(−F'FIFKFNFP FRFTFVFX/FenQ,0.2222222emF'/FhnF[p-F^o6$Q\"1F'FIF+F+" }{TEXT 245 8 " , for " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting: -mn(\"1\", mathvariant = \"normal\"), Typesetting:-mo(\"≤\", mathva riant = \"normal\", fence = \"false\", separator = \"false\", stretchy = \"false\", symmetric = \"false\", largeop = \"false\", movablelimit s = \"false\", accent = \"false\", lspace = \"0.2777778em\", rspace = \+ \"0.2777778em\"), Typesetting:-mi(\"n\", italic = \"true\", mathvarian t = \"italic\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibG F'6%-I#miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-F#6%-I#m nGF$6$Q\"1F'/F3Q'normalF'-I#moGF$6-Q%≤F'F;/%&fenceGQ&falseF'/%*sepa ratorGFC/%)stretchyGFC/%*symmetricGFC/%(largeopGFC/%.movablelimitsGFC/ %'accentGFC/%'lspaceGQ,0.2777778emF'/%'rspaceGFR-F,6%Q\"nF'F/F2F+" } {TEXT 245 3 " ." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 114 "Write a for-loop to print the first 10 terms of this se quence. You do NOT need to store these values in an array." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 128 "What is the recursive definition for the sequence above? You mus t define the intial value of the sequence, as well as quantify " } {TEXT 242 1 "n" }{TEXT 245 19 ", for full credit." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 208 7 "ANSWER:" }{TEXT 208 0 "" }{TEXT 243 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 166 "Check your answer by writing a loop to print out th e first 10 terms of the sequence using your recursive definition. You will need to store these values in an array." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 208 58 "5. Det ermining the sum of the first 20 terms of a series." }{TEXT 208 0 "" } {TEXT 244 0 "" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 38 "Now, continuing with the definition, " }{XPPEDIT 18 0 " Typesetting:-mrow(Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting:-msub(Typesetting:-mi(\" b\", italic = \"true\", mathvariant = \"italic\"), Typesetting:-mrow(T ypesetting:-mi(\"n\", italic = \"true\", mathvariant = \"italic\")), s ubscriptshift = \"0\"), Typesetting:-mo(\"=\", mathvariant = \"normal \", fence = \"false\", separator = \"false\", stretchy = \"false\", sy mmetric = \"false\", largeop = \"false\", movablelimits = \"false\", a ccent = \"false\", lspace = \"0.2777778em\", rspace = \"0.2777778em\") , Typesetting:-mrow(Typesetting:-mi(\"\", italic = \"true\", mathvaria nt = \"italic\"), Typesetting:-mrow(Typesetting:-mn(\"3\", mathvariant = \"normal\"), Typesetting:-mo(\"⁢\", mathvariant = \" normal\", fence = \"false\", separator = \"false\", stretchy = \"false \", symmetric = \"false\", largeop = \"false\", movablelimits = \"fals e\", accent = \"false\", lspace = \"0.0em\", rspace = \"0.0em\"), Type setting:-mi(\"n\", italic = \"true\", mathvariant = \"italic\")), Type setting:-mo(\"−\", mathvariant = \"normal\", fence = \"false\", \+ separator = \"false\", stretchy = \"false\", symmetric = \"false\", la rgeop = \"false\", movablelimits = \"false\", accent = \"false\", lspa ce = \"0.2222222em\", rspace = \"0.2222222em\"), Typesetting:-mn(\"1\" , mathvariant = \"normal\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\")), Typesetting:-mi(\"\", italic = \"true\", \+ mathvariant = \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,Typesetting GI(_syslibGF'6%-I#miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvariantGQ'italic F'-F#6&-I%msubGF$6%-F,6%Q\"bF'F/F2-F#6#-F,6%Q\"nF'F/F2/%/subscriptshif tGQ\"0F'-I#moGF$6-Q\"=F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGFM /%)stretchyGFM/%*symmetricGFM/%(largeopGFM/%.movablelimitsGFM/%'accent GFM/%'lspaceGQ,0.2777778emF'/%'rspaceGFfn-F#6&F+-F#6%-I#mnGF$6$Q\"3F'F I-FF6-Q1⁢F'FIFKFNFPFRFTFVFX/FenQ&0.0emF'/FhnFeoF?-FF6-Q (−F'FIFKFNFPFRFTFVFX/FenQ,0.2222222emF'/FhnF[p-F^o6$Q\"1F'FIF+F+ " }{TEXT 245 8 " , for " }{XPPEDIT 18 0 "Typesetting:-mrow(Typesettin g:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Typesetting: -mrow(Typesetting:-mn(\"1\", mathvariant = \"normal\"), Typesetting:-m o(\"≤\", mathvariant = \"normal\", fence = \"false\", separator = \+ \"false\", stretchy = \"false\", symmetric = \"false\", largeop = \"fa lse\", movablelimits = \"false\", accent = \"false\", lspace = \"0.277 7778em\", rspace = \"0.2777778em\"), Typesetting:-mi(\"n\", italic = \+ \"true\", mathvariant = \"italic\")), Typesetting:-mi(\"\", italic = \+ \"true\", mathvariant = \"italic\"));" "-I%mrowG6#/I+modulenameG6\"I,T ypesettingGI(_syslibGF'6%-I#miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvarian tGQ'italicF'-F#6%-I#mnGF$6$Q\"1F'/F3Q'normalF'-I#moGF$6-Q%≤F'F;/%&f enceGQ&falseF'/%*separatorGFC/%)stretchyGFC/%*symmetricGFC/%(largeopGF C/%.movablelimitsGFC/%'accentGFC/%'lspaceGQ,0.2777778emF'/%'rspaceGFR- F,6%Q\"nF'F/F2F+" }{TEXT 245 98 " , write a loop to determine the sum of the first 20 terms of the series, which symbollically is:" }} {PARA 0 "" 0 "" {XPPEDIT 18 0 "Typesetting:-mrow(Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Typesetting:-mrow(Types etting:-munderover(Typesetting:-mo(\"∑\", mathvariant = \"normal\" , fence = \"false\", separator = \"false\", stretchy = \"true\", symme tric = \"false\", largeop = \"true\", movablelimits = \"true\", accent = \"false\", lspace = \"0.0em\", rspace = \"0.1666667em\"), Typesetti ng:-mrow(Typesetting:-mi(\"n\", italic = \"true\", mathvariant = \"ita lic\"), Typesetting:-mo(\"=\", mathvariant = \"normal\", fence = \"fal se\", separator = \"false\", stretchy = \"false\", symmetric = \"false \", largeop = \"false\", movablelimits = \"false\", accent = \"false\" , lspace = \"0.2777778em\", rspace = \"0.2777778em\"), Typesetting:-mn (\"1\", mathvariant = \"normal\")), Typesetting:-mn(\"20\", mathvarian t = \"normal\"), accent = \"false\", accentunder = \"false\"), Typeset ting:-mi(\"\", italic = \"true\", mathvariant = \"italic\"), Typesetti ng:-mspace(height = \"0.0ex\", width = \"5.0\", depth = \"0.0ex\", lin ebreak = \"auto\"), Typesetting:-msub(Typesetting:-mi(\"b\", italic = \+ \"true\", mathvariant = \"italic\"), Typesetting:-mrow(Typesetting:-mi (\"n\", italic = \"true\", mathvariant = \"italic\")), subscriptshift \+ = \"0\")), Typesetting:-mi(\"\", italic = \"true\", mathvariant = \"it alic\"));" "-I%mrowG6#/I+modulenameG6\"I,TypesettingGI(_syslibGF'6%-I# miGF$6%Q!F'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-F#6&-I+munderov erGF$6'-I#moGF$6-Q&∑F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorG FB/%)stretchyGF1/%*symmetricGFB/%(largeopGF1/%.movablelimitsGF1/%'acce ntGFB/%'lspaceGQ&0.0emF'/%'rspaceGQ,0.1666667emF'-F#6%-F,6%Q\"nF'F/F2- F;6-Q\"=F'F>F@FC/FFFBFG/FJFB/FLFBFM/FPQ,0.2777778emF'/FSF[o-I#mnGF$6$Q \"1F'F>-F^o6$Q#20F'F>FM/%,accentunderGFBF+-I'mspaceGF$6&/%'heightGQ&0. 0exF'/%&widthGQ$5.0F'/%&depthGF[p/%*linebreakGQ%autoF'-I%msubGF$6%-F,6 %Q\"bF'F/F2-F#6#FW/%/subscriptshiftGQ\"0F'F+" }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}{PARA 0 "" 0 "" {TEXT 245 203 "Don't forget that you'll nee d a variable to keep a running sum, and it needs to be set to 0 each t ime you run the loop. It is probably easier to use the direct formula and avoid having to fill an array." }}{PARA 0 "" 0 "" {TEXT 245 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }} {MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }