Question

Following the pattern below, exactly 37 squares will be used to build the pattern for which term?​

Answer 1

18th term

Explanation:

we can clearly see, each term is the previous term plus 2 squares.

a1 = 3

a2 = a1 + 2 = 3 + 2 = 5

a3 = a2 + 2 = a1 + 2 + 2 = 3 + 2 + 2 = 7

an = a1 + (n-1)×2 = 3 + 2(n-1) = 3 + 2n - 2 = 2n + 1

37 = 2n + 1

36 = 2n

n = 18

a18 = 37