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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- The number of terms in the expansion of (1+x)^(101) (1+x^2-x)^(100) in...
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- Find the sum of coefficients in (1+x-3x^2)^(4163)dot
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- Find the middle term in the expansion of (x^2+1/(x^2)+2)^ndot
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- 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 find the value of a2+...
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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 4th term in the expansion of [2+(3x//8)]^(10) has the m...
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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 the numerically greatest term in the expansion of (3-5x)^(15)w h ...
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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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