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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
- Prove that for n in N ,10^n+3. 4^(n+2)+5 is divisible by 9 .
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- Prove by induction that the sum of the cubes of three consecutive n...
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- A sequence a1,a2,a3, ... is defined by letting a1=3 a n d ak=7a(k-...
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- A sequence x1, x2, x3,.... is defined by letting x1=2 and xk=x(k-1)...
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- Show by the Principle of Mathematical induction that the sum Sn, of th...
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- Prove that the number of subsets of a set containing n distinct elemen...
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- Using the principle of mathematical induction prove that : 1. 3+2. ...
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- Prove by the principle of mathematical induction that for all n in N ...
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- Using the principle of mathematical induction prove that 1+1/(1+2)...
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- Prove by induction that the sum Sn=n^3+3n^2+5n+3 is divisible by 3 for...
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- Using the principle of mathematical induction prove that 1/(1. 2. ...
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- Using the principle of mathematical induction. Prove that (x^(n)-y^(n...
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- Using the principle of mathematical induction prove that 41^n-14^n ...
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- Using the principle of mathematical induction, prove that (2^(3n)-1) i...
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- Using principle of mathematical induction prove that sqrtn<1/sqrt1+1/s...
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- Prove that: 1+2+3+....+ n<((2n+1)^2)/8 for all ""n in Ndot
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- Prove that: 1^2+2^2+3^2.....+n^2>(n^3)/3,n in N
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- A sequence x0, x1,x2,x3, ddot is defined by lettingx0=5 and xk=4+x(k-1...
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- Prove by the principle of mathematical induction that n<2^n"for all"n ...
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- Prove by the principle of mathematical induction that for all n in N ...
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