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The coefficient of x^15 in the product ...

The coefficient of `x^15` in the product `(1-x)(1-2x) (1-2^2 x) (1-2^3 x)` …. `(1-2^15 x)` is : (a) `2^105 - 2^121` (b) `2^121 - 2^105` (c) `2^104 - 2^120` (d) `2^108 -2^110`

A

`2^(105)-2^(121)`

B

`2^(121)-2^(105)`

C

`2^(120)-2^(104)`

D

none of these

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A
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
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  7. If 1/(1^2)+1/(2^2)+1/(3^2)+..." to "oo = pi^2/6, " then " 1/1^2+1/3^2+...

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  11. If a1,a2,a3,... are in A.P. and ai>0 for each i, then sum(i=1)^n n/(a(...

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  14. If AM of the number 5^(1+x) and 5^(1-x) is 13 then the set of possible...

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  17. The coefficient of x^15 in the product (1-x)(1-2x) (1-2^2 x) (1-2^3 ...

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  18. If S(n)=sum(r=1)^(n) a(r)=(1)/(6)n(2n^(2)+9n+13), then sum(r=1)^(n)sqr...

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  19. If sum(r=1)^(n) a(r)=(1)/(6)n(n+1)(n+2) for all nge1, then lim(ntooo) ...

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  20. Sum of n terms of the series 1/(1.2.3.4.)+1/(2.3.4.5) +1/(3.4.5.6)+.....

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