A problem by ashwin kumar ar

Level pending

The polynomial 1-x+x^2-x^3+...+x^16-x^17 may be written in the form a {o }+ a {1}y + a {2}y^2 + ... + a {16}y^16 + a {17}y^17, where y = x + 1 and a {i}s are constants. Find a_{2}.


The answer is 816.

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