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Prove that for n in N ,10^n+3. 4^(n+2)+...

Prove that for `n in N ,10^n+3. 4^(n+2)+5` is divisible by `9` .

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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
  1. Prove that for n in N ,10^n+3. 4^(n+2)+5 is divisible by 9 .

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  2. Prove by induction that the sum of the cubes of three consecutive n...

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  3. A sequence a1,a2,a3, ... is defined by letting a1=3 a n d ak=7a(k-...

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  4. A sequence x1, x2, x3,.... is defined by letting x1=2 and xk=x(k-1)...

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  5. Show by the Principle of Mathematical induction that the sum Sn, of th...

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  6. Prove that the number of subsets of a set containing n distinct elemen...

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  7. Using the principle of mathematical induction prove that : 1. 3+2. ...

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  8. Prove by the principle of mathematical induction that for all n in N ...

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  9. Using the principle of mathematical induction prove that 1+1/(1+2)...

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  10. Prove by induction that the sum Sn=n^3+3n^2+5n+3 is divisible by 3 for...

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  11. Using the principle of mathematical induction prove that 1/(1. 2. ...

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  12. Using the principle of mathematical induction. Prove that (x^(n)-y^(n...

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  13. Using the principle of mathematical induction prove that 41^n-14^n ...

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  14. Using the principle of mathematical induction, prove that (2^(3n)-1) i...

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  15. Using principle of mathematical induction prove that sqrtn<1/sqrt1+1/s...

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  16. Prove that: 1+2+3+....+ n<((2n+1)^2)/8 for all ""n in Ndot

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  17. Prove that: 1^2+2^2+3^2.....+n^2>(n^3)/3,n in N

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  18. A sequence x0, x1,x2,x3, ddot is defined by lettingx0=5 and xk=4+x(k-1...

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  19. Prove by the principle of mathematical induction that n<2^n"for all"n ...

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  20. Prove by the principle of mathematical induction that for all n in N ...

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