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The value of 1^2cdotC1+3^2cdotC3+5^2cdot...

The value of `1^2cdotC_1+3^2cdotC_3+5^2cdotC_5+`......, is

A

`n(n-1)2^(n-2)+ncdot2^(n-1)`

B

`n(n-1)2^(n-2)`

C

`n(n+1)2^(n-3)`

D

None of these

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The correct Answer is:
C
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  3. The value of 1^2cdotC1+3^2cdotC3+5^2cdotC5+......, is

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  4. Let [x] denotes the greatest integer less then or equal to x. If x=(sq...

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  5. The fractional part of =(2^(4n))/15 is

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  7. Maximum sum of coefficient in the expansion of (1-xsintheta+x^2)^n is

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  8. If n in N then value of S=sum(r=0)^n(-1)^r((^nCr)/(^(r+2)Cr)) is

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  9. The value of the expression .^47C4 + sum(j = 1)^5.^(52 - j)C3 is equal...

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  10. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

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  11. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

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  12. If an=sum(r=0)^n1/(^nCr) , then sum(r=0)^nr/(^nCr) equals

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  13. The number of real negative terms in the binomial expansion of (1+ix)^...

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  14. Let f(n)=10^n+3 . 4^(n+2)+5, n in N. The greatest integer which divide...

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  16. For natural numbers m, n if (1-y)^m(1+y)^n=1+a1y+a2y^2+.... and a1=a2=...

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  17. The coefficient of the term independent of x in the expansion of [((x+...

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  18. The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to

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