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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
- 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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- Find the positive integer just greater than (1+0. 0001)^(10000)dot
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- Find (i) the last digit, (ii) the last two digits, and (iii) the last ...
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- If 10^m divides the number 101^(100)-1 then, find the greatest value o...
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- Using the principle of mathematical induction, prove that (2^(3n)-1) i...
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- If x is very large as compare to y , then prove that sqrt(x/(x+y))dot...
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- Find the coefficient of x^n in the expansion of (1-9x+20 x^2)^(-1)dot
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- Prove that the coefficient of x^r in the expansion of (1-2x)^(-1/2) is...
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- Find the sum: 1-1/8+1/8xx3/(16)-(1xx3xx5)/(8xx16xx24)+...
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- Show that sqrt3 =1+1/3+(1/3).(3/6)+(1/3)*((3/6)*(5/9)*(7/12)+.......
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