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A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
- In the expansion of (x+a)^15, if the eleventh term is the geometric me...
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- In the expansion of (frac{3}{2}+frac{x}{3})^n when x=frac{1}{2} , it i...
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- Prove that the greatest coefficient in the expansion of (1+x)^(2n) is...
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- Find the sum : ""^(2n+1)C0+""^(2n+1)C1+""^(2n+1)C2+...+""^(2n+1)Cn.
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- The sum of the series 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+…..+1/((n...
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- Find the sum :1/2*""^(n)C0+""^(n)C1+2*""^(n)C2+2^2*""^nC3+...+2^(n-1)*...
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- Prove that : (1+""^nC1+""^nC2+""^nC3+...+""^nCn)^2=1+""^(2n)C1+""^(2n)...
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- If t0,t1, t2,...,tn are the terms in the expansion of (x+a)^n then pro...
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- If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a0+a1+a2+….
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- If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a0-a1+a2......
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- If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a0+a2+a4+…
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- If (1+x-x^2)^10/(1+x^2)=a0+a1x+a2x^2+...+anx^n+… then find a1+a3+a5+…
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- If (1+x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a0+a1+a2...
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- If (1+x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a0-a1+a2...
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- If (1+2x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a0+a2+a...
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- If (1+x-x^2)^n/(1+x^2)=a0+a1x+a2x^2+...+a(2n)x^(2n) then find a1+a3+a5...
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- The sum of the binomial coefficients in the expansion of (x^2+1/x)^n i...
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- The exponent of a binomial exceeds that of another by 3. the sum of th...
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- Find the coefficient of x^3 in the expansion of 1+(1+x)+(1+x)^2+(1+x)^...
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- Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...
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