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VashaNatasha [74]
3 years ago
14

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

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

  • 0, -1, 1, 1, 1

Step-by-step explanation:

<u>Given recursive formula</u>

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

<u>The first 5 terms are:</u>

  • 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
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