Question

My assignment says: a1= 8 and the common difference is 7 find the 9th term

Answer 1

a9 = 64

Step-by-step explanation

The formula to find the nth term of an arithmetic sequence is,

`a_n=a_1+d(n-1)`

Where a1 is the first term of the sequence and d is the common difference.

In this problem, the first term is a1 = 8 and the common difference is d = 7, so the formula for the nth term is,

`a_n=8+7(n-1)`

If we want to find the 9th term, we have to replace n by 9 in the equation above,

`a_9=8+7\cdot(9-1)`
`a_9=8+7\cdot8=8+56=64`

Hence, the 9th term of the sequence is 64.