Question

A sequence of numbers 4, 4, ų,

Find 42, 43 and 4
is given by 4-1, 49+1 = 2(un)? +3
04​

Answer 1

u₂ = 5

u₃ = 53

u₄ = 5621

Explanation:

u₁ = 1

uₙ₊₁ = 2(uₙ)² + 3

u₂ = u₁₊₁ = 2ₓu₁² + 3 = 2*1² + 3 = 5

u₃ = u₂₊₁ = 2*u₂² + 3 = 2*5² + 3 = 53

u₄ = 2*u₃² + 3 = 2*53² + 3 = 5621