Question

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.

$a_n=\frac{12}{n}$

Short answer

a. The first 10 terms of the sequence are: .

b. The graph is:

Step-by-step solution

a.Step 1.  Given

The given sequence is $a_n=\frac{12}{n}$.

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 . Then enter values for n. respectively.

So, the first 10 terms of the sequence are: .

b.Step 1.  Given

The given sequence is $a_n=\frac{12}{n}$.

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: .

Then we plot them: