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Using principle of MI prove that 2.7^n+3...

Using principle of MI prove that `2.7^n+3.5^n-5` is divisible by 24

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RD SHARMA ENGLISH-MATHEMATICAL INDUCTION-All Questions
  1. Prove the following by using the principle of mathematical inductio...

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  2. Prove that: (1+1/1)(1+1/2)(1+1/3)(1+1/n)=(n+1) for all n in Ndot

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  3. Using principle of MI prove that 2.7^n+3.5^n-5 is divisible by 24

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  4. Prove by the principle of mathematical induction that (n^5)/5+(n^3)/3+...

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  5. For all positive integer n , prove that (n^7)/7+(n^5)/5+2/3n^3-n/(105)...

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  6. If P(n) is the statement "2^(3n)-1 . Is an integral multiple 7", and i...

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  7. Let P(n) be the statement "3^n > n" . If P(n) is true, P(n+1) is also ...

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  8. If P(n) is the statement n^2> 100" , prove that whenever P(r) is...

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

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

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  11. Prove by the principle of mathematical induction that: n(n+1)(2n+1) is...

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

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  13. Prove that : cos^2alpha+cos^2(alpha+beta)-2cosalphacosbetacos(alpha+be...

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  14. Prove that 1/(n+1)+1/(n+2)+...+1/(2n)> 13/24 ,for all natural number ...

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  15. Prove the following by using the principle of mathematical inductio...

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  16. Prove by induction the inequality (1+x)^ngeq 1+n x whenever x is pos...

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  17. If P(n) is the statement n^3+n is divisible 3 is the statement P(3) tr...

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  18. If P(n) is the statement n(n+1)(n+2) is divisible is 12 prove that the...

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  19. Let P(n) be the statement 7 divides (2^(3n)-1)dot What is P(n+1)?

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  20. If P(n) is the statement n(n+1) is even, then what is P(3)?

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