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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- Find the condition for which the formula (a+b)^m = a^m+m a^(m-1)b+(m(...
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- Find the value of x , for which 1/(sqrt(5+4x)) can be expanded as infi...
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- Find the fourth term in the expansion of (1-2x)^(3//2)""dot
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- Prove that .^n C0 . ^(2n) Cn- ^n C1 . ^(2n-2)Cn+^n C2 . ^(2n-4)Cn-=2...
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- Prove that ^n C0 .^n C0-^(n+1)C1 . ^n C1+^(n+2)C2 . ^n C2-=(-1)^ndot
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- Find the sum of the coefficients of all the integral powers of x in th...
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- If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...
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- Prove that sum(alpha+beta+gamma = 10) (10 !)/(alpha!beta!gamma!)=3^(10...
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- If (1+x-2x^2)^(20)=a0+a1x+a2x^2+a3x^3+...+a(40)x^(40), then find the v...
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- Find the sum of the series .^15 C0+^(15)C1+^(15)C2+...............+^(1...
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- Find the sum sum(k=0)^(10).^(20)Ck.
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- Find the sum of all the coefficients in the binomial expansion of (x^2...
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- If the sum of coefficient of first half terms in the expansion of (x+y...
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- Find the value of sum(p=1)^n(sum(m=p)^n.^nCm.^m Cp)dot And hence, find...
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- Show that the middle term in the expansion of (1+x)^(2n)i s((1. 3. 5 (...
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- If the middle term in the expansion of (x^2+1//x)^n is 924 x^6 , then...
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- The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6xa n ...
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- If x^4 occurs in the rth term in the expansion of (x^4+1/(x^3))^(15), ...
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- Find the coefficient of x^(-10) in the expansion of (a/x+b x)^(12) .
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- Find the constant term in the expansion of (x-1//x)^6dot
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