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`underset(r=0)overset(n)(sum)(-1)^(r).^(n)C_(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(r))/(2^(3r))+(15^(r))/(2^(4r))+ . . .m" terms"]=`

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The correct Answer is:
`[(2^(mn)-1)/(2^(mn)(2^(n)-1))]`
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VMC MODULES ENGLISH-BINOMIAL THEOREM-JEE Archive
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  2. If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...

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  3. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

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  5. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

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  6. For r = 0, 1,"…..",10, let A(r),B(r), and C(r) denote, respectively, t...

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  7. The value of ((30), (0))((30), (10))-((30), (1))((30),( 11)) +(30 2)(3...

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  8. If ^n-1Cr=(k^2-3)^n C(r+1),t h e nk in (-oo,-2] b. [2,oo) c. [-sqrt...

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  10. ""^(n)C(r+1)+^(n)C(r-1)+2.""^(n)C(r)=

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  12. about to only mathematics

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  13. Prove that the sum of the coefficients in the expansion of (1 + x ...

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  16. Prove that (3!)/(2(n+3))=sum(r=0)^n(-1)^r((^n Cr)/(^(r+3)Cr))

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  17. Let n be a positive integer and (1+x+x^2)^n=a0+a1x+ . . . . +a(2n)x^(2...

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  18. Prove that C0-2^2C1+3^2C2-4^2C3++(-1)^n(n+1)^2xxCn=0w h e r eCr=^n Cr ...

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  19. If (1 + x)^(n) = C(0) = C(1) x + C(2) x^(2) + …+ C(n) x^(n) , find...

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