If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)...

If `(1+x-2 x^(2))^(6)=1+a_(1) x+a_(z) x^(2)+l .. .+a_(12) x^(12)` then `a_(2)+a_(4)+..+a_(12) `=

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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK

The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) i...
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If (1+2 x+x^(2))^(n)=sum(r=0)^(2 n) a(r) x^(r), then a(r) =
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If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...
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If C(n) is the coefficient of x^(n) in the expansion of (1+x)^(n) ...
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If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+ . . .+C(n)x^(n), then the value of ...
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The largest term in the expansion of (3+2x)^(50) where x=1/5 is:
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The numerically greatest term of (2 x-3 y)^(12) when x=1 and y=(5...
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The greatest coefficient in the expansion of (1+x)^(24) is
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If A is the sum of the odd terms and B is the sum of even terms in the...
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The number of terms in the expansion (1+x)^(101)(1-x+x^(2))^(100) is
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The number of terms in the expansion of (1+3 x+3 x^(2)+x^(3))^(7) is
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The total number of terms in the expansion of (x+y)^(150)+(x-y)^(150...
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If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, th...
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If (1+alphax)^(n)=1+8x+24x^(2)+ . . ., then the value of alpha and n i...
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The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion...
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If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...
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The coefficient of x^(17) in (x-1)(x-2)(x-3). . . (x-18) is:
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The value of x for which the sixth term in the expansion of [2^(log(...
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If in the expansion of (a+x)^(n),P and Q represent the sum of odd and ...
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If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...
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