Identity theif challenge

Algebra Level 3

Suppose that for all x x we have the identity ( 1 + x + x 2 + . . . + x 16 ) 125 = a 0 + a 1 x + a 2 x 2 + . . . + a 2000 x 2000 (1+x+x^2+...+x^{16})^{125} = a_0 + a_1x + a_2x^2 + ... + a_{2000}x^{2000}

Evaluate a 0 + a 17 + a 34 + . . . + a 1989 a_0+a_{17}+a_{34}+...+a_{1989} .

17^125 17^124 13^138 13^137

Wyatt Krasnici by Wyatt Krasnici , 20, USA

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