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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
- Find remainder when 7^(103) is divided by 25.
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- If n in I^+ show 2^(3n+3) -7n -8 is divisible by 49.
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- Find the coefficient of x^7 in (1+3x-2x^3)^10
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- Find the coefficient of a^3b^4c^5 in (ab+bc+ca)^6
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- Expand (x^2+(3/x))^4 , xne0
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- Compute (98)^5
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- Using binomial theorem prove that 6^n-5n always leaves remainder I whe...
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- Find a, if 17th and 18th terms in the expansions of (2+a)^50 are equal...
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- Find the coefficient of x^6y^3 in the expansion of (x+2y)^9
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- Use the principle of mathematical induction to show that 5^(2+1)+3^(n+...
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- Prove by mathematical induction that sum(r=0)^n "^nCr = n cdot 2^(n-1)
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- For ninN, prove that ((n+1)/2)^ngt n!
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- Using mathematical induction to show that p^(n+1) +(p+1)^(2n-1) is div...
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- Prove by induction that the integer next greater than (3+sqrt5)6n is d...
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- Using the principle of mathematical induction show that tan^(-1)(x/(1+...
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- Prove by induction that (1+x1)(1+x2)(1+x3)…….(1+xn) ge 1+x1+x2+……+xn
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- Use induction to prove that 3^(2n)-1 is not exactly divisible by 2^(n+...
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- (x+sqrt(x^3-1))^5+(x-sqrt(x^3-1))^5 is a polynomial of degree
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- if the coefficients of x^7 & x^8 in the expansion (2+x/3)^n are equal ...
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- The term independent of x in (sqrt(x/3)+sqrt(3/(2x^2)))^10 is
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