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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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- Coefficient of x^11 in the expansion of (1+x^2)^4(1+x^3)^7(1+x^4)^12 i...
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- Let S=2/1^nC0+2^2/2^nC1+2^3/3^nC2+....+2^(n+1)/(n+1)^nCn. Then S equal...
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- The coefficient of x^3 in the infinite series expansion of 2/((1-x)(2-...
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- The value of sum (nC1)^2+( nC2)^2+(nC3)^2+....+(nCn)^2 is
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- If the coefficient of x^8 in (ax^2+1/(bx))^13 is equal to the coeffici...
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- The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...
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- The coefficient of the term independent of x in the expansion of [((x+...
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- Let n be a positive even integer. The ratio of the largest coefficient...
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- The sum of the series 1/(1x2)*(25)C0+1/(2x3)*25C1+1/(3x4)*25C2+....+1/...
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- If n is a possible integer, then (sqrt3+1)^(2n)-(sqrt3-1)^(2n) is
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- Let the coefficients of powers of x in the 2^(nd), 3^(rd) and 4^(th) t...
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- The sum of the series 1+(1/2) ^nC1 +(1/3) ^nC2 +....+(1/(n+1)) ^nCn ...
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- Let (1+x)^10=sum(r=0)^(10)crx^r and (1+x)^7=sum(r=0)^7drx^r . If P=sum...
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- The coefficient of x^10 in the expansion of 1+(1+x)+....+(1+x)^20 is
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- The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is
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- The number (101)^100-1 is divisible by
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- If A and B are coefficients of x^n in the expansions of (1+x)^(2n) and...
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- If n gt 1 is an integer and x ne 0, then (1+x)^n-nx-1 is divisible by
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