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If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(...

If `(1+x)(1+x^2)(1+x^4)....(1+x^128)=sum_(r=0)^nx^r` then n is

A

255

B

127

C

60

D

none of these

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The correct Answer is:
A
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  2. The solution of the equation (8)^((1+[cosx absdivcos^2xabsdiv cos^3x]d...

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  3. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

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  4. If angt1 for all ninN,then log(a2)a1+log(a3)a2+.....+log(an)a(n-1)+log...

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  5. Let Sk=underset(nrarrinfty)limsum(i=0)^n1/(k+1)^i. Then sum(k=1)^nkSk...

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  6. If a1,a2,a3...an are in HP and f(k)=sum(r=1)^nar-ak, then a1/(f(1)),a...

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  7. sum(r=1)^nr^2-sum(m=1)^nsum(r=1)^mr is equal to

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  8. The sum of the integer from 1 to 100 which is not divisible by 3 or 5 ...

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  9. If ab^2c^3,a^2b^3c^4,a^3b^4c^5 are in AP (a,b,cgt0) thgen the minimum...

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  10. If the sum of n terms of the series 1/1^3+(1+2)/(1^3+2^3)+(1+2+3)/(1^3...

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  11. The coefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)....(x-n) ...

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  12. The series of natural number is divided into groups as follows , (1), ...

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  13. The sum of 10 terms of the series (x+1/x)^2+(x^2+1/x^2)^2+(x^3+1/x^3)...

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  14. If the sequence 1,2,2,4,4,4,4,,8,8,8,8,8,8,8,8,.... where n consecutiv...

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  15. Sum of n terms of the series (2n-1)+2(2n-3)+3(2n-5)+.... is

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  16. The cubes of the natural numbers are grouped as 1^3,(2^3,3^3),(4^3,5^3...

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  17. Let f(n)=[1/2+n/100] where [x] denote the integral part of x. Then th...

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  18. ABC is a right angled triangle in which angleB=90^@ and BC=a. If n poi...

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  19. If a,b,c are three distinct positive real number such that a^2+b^2+c^2...

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  20. The sum of the series 1^3 - 2^3 + 3^3 - ....+ 9^3=

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