Chapter 8.2, Problem 24PPS

To determine

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

  $7,9,11,\mathrm{13...};$ 33^rd term.

Answer to Problem 24PPS

The equation that describes the sequence is $t=2n+5$ and the 33^rd term is 71.

Explanation of Solution

Given information:

Term number (n)	1	2	3	4
Term (t)	7	9	11	13

Calculation:

The terms have a common difference of 2. The term is 5 more than two times the term number. So the equation that describes the sequence is $t=2n+5$

Use the equation to find the 33^rd term. Let $n=33$ .

  $t=2n+5$

Write the equation

  $t=\left(2\times 33\right)+5$

Substitute the value of n i.e. 33

  $t=66+5$

Multiply 2 and 33 first i.e.66

  $t=71$

Add 66 and 5 i.e.71

Thus the 33^rd term is 71.