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23 March, 06:22

Which sequence matches the recursive formula?

an = (an-1) 2 + 3, where a1 = 2

A)

2, 4, 16, 256, ...

B)

2, 7, 17, 37, ...

C)

2, 7, 52, 2707, ...

D)

2, 25, 784, 6159, ...

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Answers (1)
  1. 23 March, 08:51
    0
    A1 = 2

    a2 = (a1) ^2 + 3 = 2^2 + 3 = 4 + 3 = 7

    a3 = (a2) ^2 + 3 = 7^2 + 3 = 49 + 3 = 52

    a4 = (a3) ^2 + 3 = 52^2 + 3 = 2,704 + 3 = 2,707

    Option C is the correct answer.
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