How do you use the graphing calculator to graph the first 10 terms of the sequence given a_n=10(1.2)^(n-1)an=10(1.2)n−1?

1 Answer
marfre
Jul 8, 2018

See answer below

Explanation:

Given: a_n = 10(1.2)^(n-1)an=10(1.2)n−1

Using a TI-83, 83+, 84, 84+:

Put your calculator in Sequence mode:

MODE down arrow to FUNC right arrow to SEQ ENTER

2nd QUIT to go back to the home screen

2nd STAT right arrow to OPS select 5 . seq(

The home screen will now have seq(

Enter the equation. When you select the X,T,thetaθ,n key an nn will be used as your variable. Give the variable and the start and ending value of the sequence:

seq(10(1.2)^(n-1), n, 1, 10)seq(10(1.2)n−1,n,1,10) ENTER

Use the right arrow to see all of the list:

{10, 12, 14,4, 17.28, 20.736, 24.8832, 29.85984, 35.831808, 42.9981696, 51.59780352}{10,12,14,4,17.28,20.736,24.8832,29.85984,35.831808,42.9981696,51.59780352}

To turn these into fractions if possible: MATH 1. Frac ENTER ENTER

{10, 12, 72/5, 432/25, 2592/125, 15552/625, 93312/3125, 35.831808, 42.9981696, 51.59780352}{10,12,725,43225,2592125,15552625,933123125,35.831808,42.9981696,51.59780352}

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