Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Given 
and 
, 
, the value of 
for all 
is
A
B
C
0
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
…..(i)
Step I : Given 
For n =1, 
, 
Option 
For n = 1, 
which is true. For n = 2, 
which is true
Therefore, the result is true for n = 1 and n = 2
Step II : Assume it is true for n = k then it is also true for n = k – 1
Then 
…..(ii) and 
…..(iii)
Step III : Putting n = k in (i), we get
This shows that the result is true for 
, by the principle of mathematical induction the result is true for all 
.
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