Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If I n = 
where n ∈ I and n > I. If I n and I n–1 are related by the relation P I n = 
+ Q I n–1 . Find the value of P and Q in terms of n -
Text Solution
Verified by ExpertsThe correct answer is:
A
I n = 
∴ I n – 1 = 
Integrating I n – 1 by parts taking unity as the second function, we have
I n–1 = 
– 
dx
= 
+ 2(n – 1) 
= 
+ 2(n – 1) 
– 2a 2 (n – 1) 
= 
+ 2 (n – 1) I n – 1 – 2a 2 (n – 1) I n
or 2a 2 (n – 1) I n = 
+ (2n – 3) I n – 1 … (1)
and given PI n = 
+ Q I n–1 …(2)
Comparing (1) and (2). We get
P = 2a 2 (n – 1) and Q = (2n – 3).
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems