Question

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1​

Answer 1

• 0, -1, 1, 1, 1

Explanation:

Given recursive formula

• a₁ = 0
• aₙ = 2(aₙ₋₁)² - 1, for n>1​

The first 5 terms are:

• a₁ = 0
• a₂ = 2(0)² - 1 = 0 - 1 = -1
• a₃ = 2(-1)² - 1 = 2 - 1 = 1
• a₄ = 2(1)² - 1 = 2 - 1 = 1
• a₅ = 2(1)² - 1 = 2 - 1 = 1