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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
- If in the expansion of (2x+5)^(10) , the numerically greatest term in ...
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- Find the value of (1)/(81^(n))-(10)/(81^(n)).^(2n)C(1) + (10^(2))/(8...
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- Find the value of 5C3 + 4C2
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- Find the sum .^1C0+^2C1+^3C2+....+^(n+1)Cn ,where Cr=^n Crdot
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- If (1+x+x^(2) + "……" + x^(n))^(n) = a(0) + a(1)x+a(2)x^(2) + "….." a(n...
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- If n gt 2, then prove that C(1)(a-1) - C(2) xx (a-2) + "….." + (-1)^(...
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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 underset(r=0)overset(2n)suma(r) (x-2)^(r) = underset(r=0)overset(2n...
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- 3^(2n+2)-8n-9 is divisible by
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- Statement 1: The number of distinct terms in (1+x+x^2+x^3+x^4)^(1000) ...
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- The product of 3rd and 8th term of a GP is 243. If its 4th term is 3. ...
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- The value of "^30C0.^30C10+^30C1.^30C11+^30C2.^30C(12)+……+^30C(20) . ^...
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- If f(x)=x^n ,f(1)+(f^1(1))/1+(f^2(1))/(2!)+........(f^n(1))/(n !),w h ...
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- The fractional part of =(2^(4n))/15 is
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- The value of .^(15)C(0)^(2)-.^(15)C(1)^(2)+.^(15)C(2)^(2)-"...."-.^(15...
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- If the sum of the coefficients in the expansion of (1-3x+10 x^2)^ni sa...
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