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Graphing Sequences on TI Calculators
Karlie Donald
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Question Solve 1/3+1/3^2+1/3^3+1/3^4+…..+1/3^n (1/3)^n n=1
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Terms Sequence- 1/3, 1/9, 1/27, 1/81,… Finite Series- 1/3+1/9+1/27
Infinite Series-1/3+1/9+1/27+1/81+… Sequence Cumulative Sum 1/3 1/3=1/3 1/9 1/3+1/9=4/9 1/27 1/3+1/9+1/27=13/27 1/81 1/3+1/9+1/27+1/81= 40/81
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Using Lists Make a List (L1) Make a List (L2)
2nd, Stat, Ops, 5:seq( Type in (A,A,1,20,1) Make a List (L2) Sequence- 1/3,1/9,1/27 and scroll over to OPS Hit number 5:seq( Type in (1/3)^x,x,1,20) Hit To make a list hit STAT and edit. Highlight L2 to put an equation to the list (scroll up to L2). Sequence Seq(expression,variable,begin,end,[increment]) 2nd STAT Enter
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Cont Using Lists To make L3 Cumulative Sum CumSum under lists
Highlight L3(same as with highlighting L2). Hit 2nd Stat, scroll to OPS. Hit number 6:cumsum( Type in L2) Hit enter. Cumulative Sum 1/3=1/3,1/3+1/9=4/9 CumSum under lists 2nd, Stat, OPS, #6
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Graph Lists Use stat plots Press 2nd, Y=
Press enter, if stat plot is off turn it on Use scatter plot, Xlist:L1 Ylist:L2 Press 2nd, Mode to return to home screen Repeat step 1-4 but with plot2 For step 5 Ylist:L3 Press zoom 9, which is zoomstat
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Using Sequence Mode First change to sequence mode Press Mode
Scroll down to the line that has Func, Par, Pol, and Seq in it. Scroll over to Seq and press enter Then press 2nd, mode to get to the home screen
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Con’t using sequence mode
Press Y= The screen looks different than in Func Mode. U,V,W are functions n is the variable nMin=min value of n U(n)=function one U(nMin)=function u of the min value of n V(n)=function 2 V(nMin)=function v of the min value of n W(n)=function 3 W(nMin)=function w of the min value of n
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Con’t using sequence mode
For our problem nMin= 1 U(n)=what we had for L2 V(n)=what we had for L3
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