# What is the nth term of the arithmetic sequence 1,9,17,25?

##### 1 Answer

Feb 19, 2016

8n - 7

#### Explanation:

the terms of an arithmetic sequence are

a , a+d , a + 2d , a + 3d ,........... , a + (n-1)d

where a is the first term and d , the common difference.

the nth term is given by a + (n-1)d

here a = 1 and d = 9-1 = 17-9 = ,,,,,, = 8

nth term = 1 + 8(n-1) = 1+8n - 8 = 8n - 7