CBSE Class 11-science - Applications of Mathematical Induction Videos
Application of Mathematical Induction
This video explains the use of Principle of Mathematical Induction to prove the validity of statements involving inequalities and divisibility of numbers.
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Q-6 in the image
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Prove 10th by mathatical induction
- Prove by using the principle of mathematical induction 32n – 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 ‘22n – 1 is multiple of 3’ then show that P(5) is true.
- Let P(n) be the statement," n3 + n is divisible by 3". Check whether P(3) and P(4) is true.
- Prove by using the principle of mathematical induction 3n < 4n for all n N.
- If P(n) is the statement 72n + 23n - 3.3n - 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 102n – 1 + 1 is divisible by 11 for all n N.