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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- Find n , if the ratio of the fifth term from the beginning to the ...
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- Simplify: x^5+10 x^4a+40 x^3a^2+80 x^2a^3+80 x a^4+32 a^5dot
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- Find the value of (18^3+7^3+3xx18xx7xx25) /(3^6+6xx243xx2+15xx18xx4+20...
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- Find the approximation of (0. 99)^5 using the first three terms of its...
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- If for n in N ,sum(k=0)^(2n)(-1)^k(^(2n)Ck)^2=A , then find the value...
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- There are two bags each of which contains n balls. A man has to sele...
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- Find the sum sum(i=0)^r.^(n1)C(r-i) .^(n2)Ci .
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- Prove that sum(r=0)^(2n)(r. ^(2n)Cr)^2=n^(4n)C(2n) .
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- If k a n d n are positive integers and sk=1^k+2^k+3^k++n^k , then prov...
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- Prove that sum(r=1)^n(-1)^(r-1)(1+1/2+1/3++1/r)^n Cr=1/n .
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- Prove that (C1)/1-(C2)/2+(C3)/3-(C4)/4++((-1)^(n-1))/n Cn=1+1/2+1/3++1...
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- Prove that sum(r=0)^n^n Crsinr xcos(n-r)x=2^(n-1)sin(n x)dot
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- Find the last two digits of the number (23)^(14)dot
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- Find the last two digits of the number 27^(27)dot
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- Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...
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- Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot
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- Using binomial theorem (without using the formula for .^n Cr) , prove ...
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- Prove that .(r+1)*^n Cr-r*^n Cr+ ... +(-1)^r.^n Cr=(-1)^r.^(n-2)Crdot
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- Find the sum .^n C0+^n C4+^n C8 + . . .
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- Find the value of ^4nC0+^(4n)C4+^(4n)C8++""^(4n)C(4n) .
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