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The coefficient of x^n in the expansion...

The coefficient of `x^n` in the expansion of `(1 + x+x^2+...........)^-n`, is

A

1

B

`(-1)^(n)`

C

n

D

`n +1`

Text Solution

Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. If (r+1)t h term is the first negative term in the expansion of (1+x)^...

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  2. The coefficient of x^(6) in the expansion of (1 + x + x^(2))^(-3) is

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  3. The coefficient of x^n in the expansion of (1 + x+x^2+...........)^-...

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  4. If the binomial expansion of (a +b x)^-2 is 1/4-3x+......., then (a, ...

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  5. If C(r) = ""^(n)C(r) and (C(0) + C(1)) (C(1) + C(2)) … (C(n-1) + C(n))...

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  6. If the third term in the expansion of (1+x)^mi s-1/8x^2, then find the...

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  7. If p is nearly equal to q and n gt 1 , such that ((n+1) p+(n-1)q)/(...

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  8. If y=3 x + 6 x^(2) + 10 x^(3) +… then x =

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  9. If y = (1)/(3) + (1*3)/(3 *6) + (1 * 3*5)/(3*6*9) +… then the value ...

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  10. If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...

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  11. In the expansion of (sqrt(x^5)+3/(sqrt(x^3)))^6 coefficient of x^3 is ...

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  12. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

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  13. The coefficient of y in the expansion of (y^(2) + c//y)^(5) is

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  14. The greatest coefficient in the expansion of (1 + x)^(10), is

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  15. The approximate value of (7.995)^(1//3) correct to four decimal pla...

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  16. Find the remainder when 32^(32^32) is divided by 7

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  17. If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...

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  18. If n gt 1, then (1+x)^(n)-nx-1 is divisible by :

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  19. The number of terms with integral coefficients in the expansion of (...

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  20. The term independent of x in the expansion of (1 - x)^(2) (x + (1)/(...

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