college algebra word problem

Question

Write an explicit formula for the sequence.

7, 10, 15, 22, 31, ...

Answer 1

An = 6 + n²

A1 = 6+1^2 = 7

A2 = 6 + 2^2 = 10

A3 = 6 + 3^2 = 15

A4 = 6 + 4^2 = 22

A5 = 6 + 5^2 = 31

A6 = 6 + 6^2 = 42