Question

How do you find the indicated term of each arithmetic sequence `a_1=12` d=-7, n=22?

Answer 1

`22^(nd)` term `color(indigo)(a_22 = 159`

Explanation:

`nth` term of an Arithmetic Sequence is given by the formula,

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

Given `a_1 = 12, d = 7, n = 22`

`:. a_22 = 12 + (22-1)*7`

`a_22 = 12 + (21 * 7) = 12 + 147 = 159`