Question

How do you find the indicated term of the arithmetic sequence `a_1=7`, d=3, n=14?

Answer 1

`a_14 = 46`

Explanation:

`a_1 = 7, d = 3, n = 14`

`a_2 = a_1 + (2-1) * d = 7 + 3 = 10`

`a_3 = a_1 + (3-1)* d = 7 + 6 = 13`

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

`:. a_14 = a_1 + (14-1) * d = 7 + 13 * 3 = 7 + 39 = 46`