CBSE Class 11-science - Introduction to Mathematical Induction Videos
Introduction to Mathematical Induction
This video covers the difference between inductive and deductive reasoning and also states the Principle of Mathematical Induction and how to use the same to prove the results on natural numbers.
-
prove by mathematical induction,cos
- By using principle of mathematical induction, prove that: 1 + 4 + 7 + --- + (3n - 2) =n(3n-1)
- Let P(n) be the statement `n(n + 1) is an even number’ then find P(6).
- If P(n) be the statement `12n + 3’ is a multiple of 5, then show that P(3) is false, whereas P(6) is true.
- Let P(n) be the statement `n2 + n is even’. If P(k) is true , then show that P(k + 1) is true.
- Let P(n) be the statement . If P(k) is true,then show that P(k+1) is true.
- Explain the principle of mathematical induction:
- If P(n) be the statement ‘n2 – n + 41 is a prime number’, then show that P(1), P(2) are true but P(41) is not true.
- Show by using principle of mathematical induction, prove that: 1 + 2 + 3 + -----+ n =
- Let P(n) be the statement , If P (k) is true , then show that P(k + 1) is true.