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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- The value of sum(r=0)^(10)(r)^(20)Cr is equal to: a. 20(2^(18)+^(19)C...
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- If p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot] denotes the greatest i...
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- Statement 1: Greatest term in the expansion of (1+x)^(12), when x=11//...
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- Statement 1: Remainder w h e n3456^2222 is divided by 7 is 4. Statemen...
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- the value of x , for which the 6th term in the expansions of[2^(log2)...
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- Each question has four choices a, b, c and d, out of which only one is...
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- The number 51^(49)+51^(48)+51^(47)+........+51+1 is divisible by a. 10...
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- If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...
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- If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of th...
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- For any positive integer (m,n) (with ngeqm), Let ((n),(m)) =.^nCm Prov...
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- If sum(r=0)^n{ar(x-alpha+2)^r-br(alpha-x-1)^r}=0, then prove that bn-(...
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- Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...
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- Prove that sum(r=0)^n^n Cr(-1)^r[i^r+i^(2r)+i^(3r)+i^(4r)]=2^n+2^(n/2+...
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- Find the coefficient of x^n in (1+x/(1!)+(x^2)/(2!)+........+(x^n)/(n ...
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- Prove that (^n C0)/x-(^n C0)/(x+1)+(^n C1)/(x+2)-+(-1)^n(^n Cn)/(x+n)=...
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- If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...
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- Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+...+((q+1)/2)^n...
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- The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+oo will be a. x^n b. x^(-...
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- sum(k=1)^ook(1-1/n)^(k-1)=>? a.n(n-1) b. n(n+1) c. n^2 d. (n+1)^2
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- The coefficient of x^4 in the expansion of {sqrt(1+x^2)-x}^(-1) in asc...
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