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Write the first five terms of the sequence defined by the recursive formula an = 2 (an-1)^2, with a1 = 1.

Write the first five terms of the sequence defined by the recursive formula an = 2 (an-1)^2, with a1 = 1.
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4 votes
write the first five terms of the sequence defined by the recursive formula an = 2 (an-1)^2, with a1 = 1.

write the first five terms of the sequence defined by the recursive formula an = 2 (an-example-1
User Veor
by
8.2k points

1 Answer

4 votes

Answer:

  • 1, 2, 8, 128, 32768

Explanation:

Given

  • The recursive formula aₙ = 2*(aₙ₋₁)², with a₁ = 1

The first 5 terms are:

  • a₁ = 1
  • a₂ = 2*1² = 2
  • a₃ = 2*2² = 8
  • a₄= 2*8² = 128
  • a₅ = 2*128² = 32768
User Henri Hietala
by
7.2k points
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