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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- 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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- Find the remainder when x=5^(5^(5^(5...))) (24 times 5) is divided by ...
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- Find the remainder when 1690^(2608)+2608^(1690) is divided by 7.
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- Find the value of {3^(2003)//28}, w h e r e{dot} denotes the fractiona...
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- Find the remainder when 5^(99) is divided by 13.
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- Find the remainder when 7^(103) is divided by 25.
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- Using binomial theorem, prove that 6^n-5n always leaves remainder 1...
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- If the coefficient of the middle term in the expansion of (1+x)^(2n+2)...
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- If the coefficients of three consecutive terms in the expansion of (1+...
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- In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...
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- Prove that (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn) = (C0...
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- If a1,a2, a3, a4 be the coefficient of four consecutive terms in the e...
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- Find the sum of sum(r=1)^n(r^n Cr)/(^n C(r-1) .
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