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Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a1x+a2...

Given `(1-2x+5x^2-10 x^3)(1+x)^n=1+a_1x+a_2x^2+` and that`a1 ^2=2a_2` then the value of `n` is.

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  3. Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a1x+a2x^2+ and thata1 ^2=2a2 then th...

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  4. Sum of last three digits of the number N=7^(100)-3^(100) is.

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  5. Let n be a positive integer and (1+x+x^2)^n=a0+a1x+ . . . . +a(2n)x^(2...

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  6. sum(r=1)^k(−3)^(r−1) .^(3n)C(2r−1)=0, where k=(3n)/2 and n is an even ...

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  11. The coefficient of 1//x in the expansion of (1+x)^n(1+1//x)^n is (a).(...

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  12. The coefficient x^5 in the expansion of (1+x)^(21)+(1+x)^(22)++(1+x)^...

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  13. If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...

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  14. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

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  15. If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...

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  16. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

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  17. If the coefficients of rth and (r+1)t h terms in the expansion of (3+7...

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  18. In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 14...

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  19. If n-1Cr=(k^2-3)^nC(r+1), then (a) (-oo,-2] (b) [2,oo) (c) [-sqrt3, s...

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