Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The sum of the series
1 + 2 
+........... ∞ is given by -
Text Solution
Verified by ExpertsThe correct answer is:
A
S = 1 + 2r + 3r 2 + 4r 3 .......
S r = r + 2r 2 + 3r 2 ......
S(1 – r) = 1 + r + r 2 ........
S = 
= 
⇒ S = n 2
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
A series whose n th term is , the sum of r terms will be
If , then is
The sum of the series is
The sum of the series 1.2.3 + 2.3.4 + 3.4.5 + ….. to n terms is
The sum of the first n terms of the series 1 2 + 2.2 2 + 3 2 + 2.4 2 + 5 2 + 2.6 2 + . . . is , wh…
An A.P. whose first term is unity and in which the sum of the first half of any even number of term…