Question

(NOTE: this symbol "*" will be used to express variables that go under the number, like a reverse exponent.)Find the 4th term in the sequence with the following definition:

a*1=2
a*n=(a*n-1)^2

Answer 1

256

Explanation:

a₁ = 2

aₙ = (aₙ₋₁)²

a₂ = (a₂₋₁)²

a₂ = (a₁)²

a₂ = (2)²

a₂ = 4

a₃ = (a₃₋₁)²

a₃ = (a₂)²

a₃ = (4)²

a₃ = 16

a₄ = (a₄₋₁)²

a₄ = (a₃)²

a₄ = (16)²

a₄ = 256