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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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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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- Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.
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- If an=sum(r=0)^n1/(^nCr) , then sum(r=0)^nr/(^nCr) equals
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- The number of real negative terms in the binomial expansion of (1+ix)^...
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- Let f(n)=10^n+3 . 4^(n+2)+5, n in N. The greatest integer which divide...
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- The value of the sum of the series 3cdot^nC0+8cdot^nC1+13cdot^nC2-18cd...
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- For natural numbers m, n if (1-y)^m(1+y)^n=1+a1y+a2y^2+.... and a1=a2=...
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- The coefficient of the term independent of x in the expansion of [((x+...
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- The coefficient of a^3b^4c in the expansion of (1+a-b+c)^9 is equal to
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- The remainder when 9^(103) is divided by 25 is equal to
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- If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...
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- The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is
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- In the expansion of (1+x+x^2+x^3)^6, the coefficient of x^(14) is
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- The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...
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