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Find a sequence

Algebra Level 3

A sequence $\{x_n\}$ is defined as follows: $x_1 =1 \ , \ x_{n+1} = x_n^2 +2x_n \ (n=1,2,3,\cdots).$ Find $x_7$ .

2^{32}

2^{64}

2^{32} -1

2^{64} -1

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by Sandeep Mehra

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