Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, …

Solution:

Given, the arithmetic sequence is 9, 11, 13, 15,....

We have to find the equation for the nth term of the sequence.

The n-th term of the arithmetic sequence is given by

a_n = a + (n -1)d

From the series, a = 9

Common difference, d = 11 - 9 = 2

So, a_n = 9 + (n - 1)(2)

= 9 + 2n - 2

= 2n + 9 - 2

a_n = 2n + 7

Therefore, the equation for the nth term of the sequence is a_n = 2n + 7.

Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, …

Summary:

An equation for the nth term of the arithmetic sequence 9, 11, 13, 15,... is a_n = 2n + 7.