(x^(2)+x+1)^(100)=a_0+a_1x+a_2x^(2)+...+a_(199)x^(199)+a_(200)x^(200) sum_(i=1)^(200) (1/(1+x_i))=? Can somebody help me? Thank you!

s2vunov

s2vunov

Answered question

2022-09-27

Solve i = 1 200 1 1 + x i = ?
( x 2 + x + 1 ) 100 = a 0 + a 1 x + a 2 x 2 + . . . + a 199 x 199 + a 200 x 200
i = 1 200 1 1 + x i = ?
Can somebody help me? Thank you!

Answer & Explanation

Haylie Campbell

Haylie Campbell

Beginner2022-09-28Added 13 answers

k = 1 200 1 1 + x k = 100 ( 1 1 + x 1 + 1 1 + x 2 ) = 100 ( 2 + x 1 + x 2 ) 1 + x 1 + x 2 + x 1 x 2 =
= 100 ( 2 1 ) 1 1 + 1 = 100.

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