Chapter 8.2, Problem 21PPS

To determine

To Write: The equation for the given sequence and to find the indicated term.

  $4,8,12,\mathrm{16...};$ 13^th term.

Answer to Problem 21PPS

The equation that describes the sequence is $t=4n$ and the 13^th term is 52.

Explanation of Solution

Given information:

Term number (n)	1	2	3	4
Term (t)	4	8	12	16

Calculation:

The terms have a common difference of 4. The term is 4 times the term number. So the equation that describes the sequence is $t=4n$ .

Use the equation to find the 13^th term. Let $n=13$

  $t=4n$

Write the equation

  $t=4\times 13$

Substitute the value of n i.e. 13

  $t=52$

Multiply 13 and 4 i.e. 52

Thus the 13^th term is 52.