CBSE Class 11-science - Introduction to Mathematical Induction Videos
-
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.
