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The value of underset(r=0)overset(10)sum...

The value of `underset(r=0)overset(10)sum(r).^(20)C_(r)` is equal to

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If f(x)=1-x+x^2-x^3+. . -x^(15)+x^(16)-x^(17) , then the coefficient o...

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  2. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

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  3. The value of underset(r=0)overset(10)sum(r).^(20)C(r) is equal to

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  4. If P = (8 + 3sqrt(7))^(n) and f = p - [p] , where [*] denotes the grea...

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  5. Find the GP whose first term is 64 and next term is 32.

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  6. The fifth term of GP is 81 and second term is 24. Find the GP

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  7. The value of x for which the sixth term in the expansion of [2^(log(...

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  8. Find the 7th term of the GP, sqrt(3)+1, 1 , (sqrt(3) -1)/2 ,.....

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  9. The number 51^(49)+51^(48)+51^(47)+........+51+1 is divisible by a. 10...

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  10. If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...

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  11. If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of the...

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  12. If sum(r=0)^(n){a(r)(x-alpha+2)^(r)-b(r)(alpha-x-1)^(r)}=0, then

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  13. Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...

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  14. Prove that underset(r=0)overset(n)sum.^(n)C(r)(-1)^(r)[i^(r)+i^(2r)+i^...

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  15. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

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  16. If the first and third term is 2 and 8 respectively. Find its secon...

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  17. Find the next two terms of the series 2,-6,18,-54,.....

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  18. If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...

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  19. Find the third term from the end term of the GP.2/27, 2/9, 2/8,.........

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  20. Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+... +((q+1)/2)^n...

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