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the coefficient of x^15 in the product of(1-x)(1-2x)(1-2^2x)...(1-2^15x) is.........?
plz give some hints also
Dear nishant
given question is a product of 16 brackets
and you can find x15 only when x from 15 bracket is multiplied and constant term from 1 bracket.
so just multiply
coefficient of x15 is =-2 1+2+3.....+15 -2 0+2+3+.....15 ..................-2 0+1+2+3...+14
=-21+2+3.....+15 [1 +1/2 +1/22 +........1/215]
=-2120[2-1/215]
=-2121 +2105
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