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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
- In the expansion of (1+x)^(50), find the sum of coefficients of odd po...
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- If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then
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- If the middle term in the binomial expansion of (1/x+xsinx)^(10) is eq...
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- Find the sum C0+3C1+3^2C2+...+3^n Cndot
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- If (1+x)^n=sum(r=0)^n Cr x^r , then prove that C1+2C2+3C3+....+n Cn=n2...
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- If T0,T1, T2, ,Tn represent the terms in the expansion of (x+a)^n , t...
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- If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n), find the value of a0+a3+a6+...
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- Find the sum C0-C2+C4-C6+ ......... ,where Cr=^n Cr .
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- Prove that .^n C0+^n C3+^n C6+=1/3(2^n+2cos((npi)/3)) .
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- Given that the 4^(th) term in the expansion of (2+3/(8)x)^(10) has the...
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- Find the greatest coefficient in the expansion of (1+2x//3)^(15)dot .
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- Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...
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- Find numerically the greatest term/terms in the expansion of (3-5x)^(1...
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- Let n be an odd natural number greater than 1. Then , find the number...
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- Find the remainder when 27^(40) is divided by 12.
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- In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the ...
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- Find the sum sum(j=0)^n( ^(4n+1)Cj+^(4n+1)C(2n-j)) .
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- Show that no three consecutive binomial coefficients can be in G.P.
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- Find the sum sum(r=1)^n r^n (^nCr)/(^nC(r-1)) .
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- Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integ...
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