Question

21-26 Terms of aSequence Use a graphing calculator to do the following. (a) Find the first ten terms of the sequence.

(b) Graph the first ten terms of the sequence.

21.$a_n=4n+3$

Short answer

1. The first 10 terms of the sequence are: 7, 11, 15, 19, 23, 27, 31, 35, 39, 43.

The graph is:

Step-by-step solution

a.Step-1 – Given

The given sequence is$a_n=4n+3$.

Step-2 – To determine

Find the first ten terms of the sequence.

Step-3 – Calculation

We will use Desmos graphing calculator.

We enter the given expression

$4n+3$

Then enter values for n.$n=1,2,3,\mathrm{.....},10$

respectively.

So, the first 10 terms of the sequence are: 7, 11, 15, 19, 23, 27, 31, 35, 39, 43.

b.Step 1.  Given

The given sequence is$a_n=4n+3$.

Step 2.  To determine

Graph the first ten terms of the sequence.

Step 3.  Calculation

From part (a), the first 10 terms of the sequence are: 7, 11, 15, 19, 23, 27, 31, 35, 39, 43.

Then we plot them: