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about to only mathematics...

about to only mathematics

A

0

B

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

C

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

D

`(-1)^(n)n`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 2
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  2. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n)x^(n), then the value of sums...

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  3. Prove that sum(r=0)^ssum(s=1)^n^n Cs^n Cr=3^n-1.

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  4. The value of underset(r=0)overset(20)sum(-1)^(r )(.^(50)C(r))/(r+2) is...

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  5. The value of ""^(n)C(n)+""^(n+1)C(n)+""^(n+2)C(n)+….+""^(n+k)C(n) :

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  6. The value of sum(r=0)^50 (.^(100)Cr.^(200)C(150+r)) is equal to

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  7. The value of sum(r=0)^(2n)(-1)^(r)*(""^(2n)C(r))^(2) is equal to :

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  8. Find the sum sum(i=0)^r.^(n1)C(r-i) .^(n2)Ci .

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  9. If a(n) = sum(r=0)^(n) (1)/(""^(n)C(r)) , find the value of sum(...

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  10. sum(r=0)^n (-1)^r .^nCr (1+rln10)/(1+ln10^n)^r

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  11. If R = (sqrt(2) + 1)^(2n+1) and f = R - [R], where [ ] denote the ...

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  12. Let ( 5 + 2 sqrt(6))^(n) = I + f , where n, I in N and 0 lt f lt ...

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  13. If x= (7 + 4 sqrt(3))^(2n) = [x] + f , where n in N and 0 le f lt...

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  14. If n gt 3, then xyz^(n)C(0)-(x-1)(y-1)(z-1)""^(n)C(1)+(x-2)(y-2)(z-2)"...

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  15. about to only mathematics

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  16. If n gt 3, then xyz^(n)C(0)-(x-1)(y-1)(z-1)""^(n)C(1)+(x-2)(y-2)(z-2)"...

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  17. Let n be positive integer such that, (1+x+x^(2))^(n)=a(0)+a(1)x+a(2)x^...

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  18. Find the value of underset(0leiltjlen)(sumsum)(.^(n)C(i)+.^(n)C(j)).

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

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  20. Find the value of 1/(81^n)-(10)/(81^n)^(2n)C1+(10^2)/(81^n)^(2n)C2-(10...

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