Question

The nth term of a sequence is 3n²-1
what are the second and fifth terms?

Answer 1

11 and 74

Explanation:

To find the second and fifth terms substitute n = 2, n = 5 into the rule, that is

a₂ = 3(2)² - 1 = 3(4) - 1 = 12 - 1 = 11

a₅ = 3(5)² - 1 = 3(25) - 1 = 75 - 1 = 74

Answer 2

2nd term: 3(2)^2 - 1

5th term: 3(5)^2 - 1