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- The expression [x+(x^(3)-1)^((1)/(2))]^(5)+[x-(x^(3)-1)^((1)/(2))]^(...
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- 2^(3n)-7n-1 is divisible by
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- If n is a positive integer, then n^(3)+2n is divisible by
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- The sum of the coefficients in the expansion of (5x-4y)^(n), where n i...
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- Let a=underset(n=0)overset(infty)Sigma (x^(3n))/((3n))!, b =underset(n...
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- 10^n+3(4^(n+2))+5 is divisible by (n in N)
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- The coefficient of x^(n) in the expansion of log(e )((1)/(1+x+x^(2)+x^...
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- Find the value of (^(8)C(0))/(6)-^(8)C(1)+^(8)C(2)xx6-^(8)C(3)xx6^(2...
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- If the coefficient of second, third and fourth terms in the expansion ...
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- If (1+x)^(n) =C(0) +C(1)x +C(2)x^(2) +…+C(n)x^(n), then C(0) +3C(1) +...
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- The value of (sqrt5+1)^(5)-(sqrt5-1)^(5) is
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- The coefficient of x^(5) in the expansion of (2-x+3x^(2))^(6) is
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- If C(1), C(2), C(3),…C(n) denote the coefficients in the binomial expa...
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- Larger of 99^(50) +100^(50) and 101^(50) is ………..
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- (1)/(n!) +(1)/(2!(n-2)!) +(1)/(4!(n-4)!) +... is equal to
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- When 2^(301) is divided by 5, the least positive remainder is
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- The middle term in the expansion of (x- (1)/(x))^(18) is
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