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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- 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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- 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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- If the 3rd, 4th , 5th and 6th term in the expansion of (x+alpha)^n ...
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- Find the remainder when 7^(98) is divided by 5.
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- Show that 2^(4n+4)-15n-16, where n in N is divisible by 225.
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- If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt...
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- Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...
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- If 9^7+7^9 is divisible b 2^n , then find the greatest value of n ,w...
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- Prove that sqrt(10)[(sqrt(10)+1)^(100)-(sqrt(10)-1)^(100)] is an even ...
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