If a1=6 and an=3+2(an−1)^2, then a2 equals

Question

1. 75

2. 147

3. 180

4. 900

Answer 1

Hello Aaron,

I believe you meant to say a_n = 3+2(a_n-1)²

Given a₁ = 6, to find a₂, we replace n by 2 in the formula. You get:

a₂ = 3+2(a_2-1)²

that is: a₂ = 3+2(a₁)²

Since a₁ = 6, plug it in the formula: a₂ = 3+2(6)² so a₂ = 3+2(36) ---> a₂ = 3+72 = 75

Answer choice 1.