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Let R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w ...

Let `R=(5sqrt(5)+11)^(2n+1)a n df=R-[R]w h e r e[]` denotes the greatest integer function, prove that `Rf=4^(2n+1)`

A

`4^(2n+1)`

B

`4^(2n)`

C

`4^(2n-1)`

D

`4^(-2n)`

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A
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AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
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  4. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

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  6. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

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  15. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

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  17. The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...

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  18. If underset(k=0)overset(n)(sum)(k^(2)+k+1)k! =(2007).2007!, then value...

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  20. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

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