If sum(r=0)^(n){a(r)(x-alpha+2)^(r)-b(r)...

If `sum_(r=0)^(n){a_(r)(x-alpha+2)^(r)-b_(r)(alpha-x-1)^(r)}=0`, then

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If sum_(r=0)^(n){("^(n)C_(r-1))/('^(n)C_(r )+^(n)C_(r-1))}^(3)=(25)/(24) , then n is equal to (a) 3 (b) 4 (c) 5 (d) 6

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions

If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...
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If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of the...
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If sum(r=0)^(n){a(r)(x-alpha+2)^(r)-b(r)(alpha-x-1)^(r)}=0, then
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Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...
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Prove that underset(r=0)overset(n)sum.^(n)C(r)(-1)^(r)[i^(r)+i^(2r)+i^...
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The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is
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If the first and third term is 2 and 8 respectively. Find its secon...
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Find the next two terms of the series 2,-6,18,-54,.....
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If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...
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Find the third term from the end term of the GP.2/27, 2/9, 2/8,.........
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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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The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo
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sum(k=1)^ook(1-1/n)^(k-1) =?
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The coefficient of x in the expansion of {sqrt(1+x^2)-x}^(-1) in ascen...
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1+1/3x+(1xx4)/(3xx6)x^2+(1xx4xx7)/(3xx6xx9)x^3+------ is equal to
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The value of sum(r=1)^(15)(r2^r)/((r+2)!) is (a).((17)!-2^16)/((17)!) ...
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(n+2).^(n)C(0)2^(n+1).^(n)C(1)2^(n)+n.^(n)C(2)2^(n -1)-"…." is equal t...
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The value of underset(r=0)overset(20)sum(-1)^(r )(.^(50)C(r))/(r+2) is...
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In the expansion of [(1+x)(1-x)]^(2), the coefficient of x^(n) will be
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If a, b, c are in GP and a, x, b,y, c ar in AP. then prove that, 1...
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