college algebra word problem

Question

Write the first four terms of the sequence.

a_n = 2^ⁿ − 2

Answer 1

a₀ =-1 any number to the zero power = 1, 1-2 = -1

a₁ = 0 2 to the power of 1 = 2, 2-2 = 0

a₂ = 2 2 squared = 4, 4-2 = 2

a₃ = 6 2 cubed = 8, 8-2 = 6

a₄ = 14 2 to the 4th power = 16, 16-2 = 14

a₅ = 2^5-2 = 32-2= 30

there's 5 or 6 terms

as it's written, but by chance maybe you meant

a_n = 2^(n-2) ??

if so

a₀ = 2^-2 = 1/4

a₁= 2^-1 = 1/2

a₂ = 2^0 = 1

a₃ = 2^1 = 2

a₄ = 2^2 = 4

a₅ = 2^3 = 8