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Find the sum of the series .^15 C0+^(15)...

Find the sum of the series `.^15 C_0+^(15)C_1+^(15)C_2+...............+^(15)C_7`.

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Find the sum of the following (""^(15)C_(1))/(""^(15)C_(0))+2(""^(15)C_(2))/(""^(15)C_(1))+3(""^(15)C_(3))/(""^(15)C_(2))+......+15(""^(15)C_(15))/(""^(15)C_(14))

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. If (1+x-2x^2)^(20)=a0+a1x+a2x^2+a3x^3+...+a(40)x^(40), then find the v...

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  3. Find the sum of the series .^15 C0+^(15)C1+^(15)C2+...............+^(1...

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  4. Find the sum sum(k=0)^(10).^(20)Ck.

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  6. If the sum of coefficient of first half terms in the expansion of (x+y...

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  12. Find the coefficient of x^(-10) in the expansion of (a/x+b x)^(12) .

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  13. Find the constant term in the expansion of (x-1//x)^6dot

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  15. In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginnin...

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  17. If p a n d q are positive, then prove that the coefficients of x^pa n ...

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  18. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

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  19. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

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