Find a sequence

Algebra Level 3

A sequence {xn}\{x_n\} is defined as follows: x1=1 , xn+1=xn2+2xn (n=1,2,3,).x_1 =1 \ , \ x_{n+1} = x_n^2 +2x_n \ (n=1,2,3,\cdots). Find x7x_7.

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