# CBSE Class 11-science Maths Applications Of Mathematical Induction

## Videos

- Q-6 in the image
- Prove 10th by mathatical induction
- Prove by using the principle of mathematical induction 3
^{2n}– 1 is divisible by 8 for n N. - Prove by using the principle of mathematical induction n(n + 1)(n + 2) is divisible by 6 for all n N.
- If P(n) is the statement ‘2
^{2n}– 1 is multiple of 3’ then show that P(5) is true. - Let P(n) be the statement," n
^{3}+ n is divisible by 3". Check whether P(3) and P(4) is true. - Prove by using the principle of mathematical induction 3
^{n}< 4^{n}for all n N. - If P(n) is the statement 7
^{2n}+ 2^{3n - 3}.3^{n - 1}is divisible by 25 for all n N, then what is P(k + 1)? - Show that if statement P(n): 2 + 4 + 6 + --- + 2n = n( n + 1) + 2 is true for n = k, then it is also true for n = k + 1. Can we apply the principle of mathematical induction?
- Prove that 10
^{2n – 1}+ 1 is divisible by 11 for all n N.

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