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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- Prove that (.^n C0)/1+(.^n C2)/3+(.^n C4)/5+(.^n C6)/7+ . . . =(2^n)/(...
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- Find the sum sumsum(0lt=ilt=jlt=n)^n Ci^n Cj
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- Find the sum sumsum(i!=j)^n ^nCi^n Cj
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- Show that the integer next above (sqrt(3)+1)^(2m) contains 2^(m+1) as ...
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- Prove that (1^2)/3""^n C1+(1^2+2^2)/5^n C2(1^1+2^2+3^2)/7^n C3+ +(1^2+...
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- Prove that 1/(n+1)=(.^n C1)/2-(2(.^n C2))/3+(3(.^n C3))/4- . . . +(-1^...
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- Find the sum 2C0+(2^3)/2C1+(2^3)/3C2+(2^4)/4C3++(2^(11))/(11)C(10)dot
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- If in the expansion of (2x+5)^(10) , the numerically greatest tem in ...
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- Find the value of 1/(81^n)-(10)/(81^n)^(2n)C1+(10^2)/(81^n)^(2n)C2-(10...
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- Find the value of 5C3 + 4C2
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- Find the sum 1C0+2C1+3C2++(n+1)Cn ,w h e r eCr=^n Crdot
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- If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)x^(n p), then find the value o...
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- If n >2, then prove that C1(a-1)-C2xx(a-2)++(-1)^(n-1)Cn(a-n)=a ,w h e...
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- Find the sum C0-C2+C4-C6+ ......... ,where Cr=^n Cr .
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- If x+y=1, prove that sum(r=0)^n .^nCr x^r y^(n-r) = 1.
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- Find the sum 3 C1 + 5C2
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- Prove that (.^(n)C(1))/(2) + (.^(n)C(3))/(4) + (.^(n)C(5))/(6) + "…." ...
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- If (1+x)^n=sum(r=0)^n^n Cr , show that C0+(C1)/2++(Cn)/(n+1)=(2^(n+1...
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- If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...
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- Statement 1: 3^(2n+2)-8n-9 is divisible by 64 ,AAn in Ndot Statement...
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