Question

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

Answer 1

See answer below

Explanation:

Given: `a_n = 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,`theta`,n key an `n` 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)` 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}`

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}`