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sum(k=1)^ook(1-1/n)^(k-1)=>? a.n(n-1)...

`sum_(k=1)^ook(1-1/n)^(k-1)=>? a.`n(n-1)` b. `n(n+1)` c. `n^2` d. `(n+1)^2`

A

n(n-1)

B

n(n+1)

C

`n^(2)`

D

`(n +1)^(2)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

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  2. If the integers r gt 1, n gt 2 and coefficients of (3r)th " and " (r +...

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  3. about to only mathematics

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  4. The coefficient of x^(5) in the expansion of (x +3)^(6),is

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  5. Coefficient of x^(n) in the expansion of ((1+x)^(n))/(1-x)

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  6. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

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  7. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

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  8. If the sum of the coefficients of the first, second, and third terms ...

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  9. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  10. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

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  11. In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coeff...

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  12. sum(k=1)^ook(1-1/n)^(k-1)=>? a.n(n-1) b. n(n+1) c. n^2 d. (n+1)^2

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  13. The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...

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  14. Find the interval of x, for which the expansion of (8 – 3x)^(3/2) in...

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  15. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

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  16. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

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  17. Find the following sum : (1)/(n!) + (1)/(2!(n-2)!) + (1)/(4!(n-4)!)+...

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  18. The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is

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

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  20. The sum sum(0 leq i)sum(leq j leq 10) (10Cj)(jCi) is equal to

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