CBSE Class 11-science Answered
For any natural number n, Prove that
.

Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
The proof is obtainted by applying principle of mathematical induction.
Let the given statement be
P(n): 

For n = 1, we have
P(1) : 

Thus P(1) is true.
Suppose P(k) is true for some positive integer k, i.e.

We shall prove that P(k+1) is also true, i.e.

Now,

= (a+b)

[From (1)]


(By actual multiplication)

[grouping like terms]


Thus, it has been proved that P(k +1) is true whenever P(k) is true.

Answered by | 04 Jun, 2014, 03:23: PM
Concept Videos
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 30 Sep, 2016, 09:11: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 30 Sep, 2016, 09:15: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM