Chapter 8.2, Problem 2CYP

To determine

To Find: The 20^th term of the sequence 5,8,11,14,…..

Answer to Problem 2CYP

The 20^th term is 62.

Explanation of Solution

Given information:

The sequence 5,8,11,14,…..

Calculation:

Term Number(n)	1	2	3	4
Term(t)	5	8	11	14

The difference of the term number is 1 and the common difference of the term is 3.

Any term is 3timesthe term number plus 2.

Thus the equation of the sequence is $t=3n+2$

Using the equation to find the 20^th term, let n=20.

  $\begin{array}{c}t=3n+2\\ =3\cdot 20+2\\ =60+2\\ =62\end{array}$