Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Given p A.P’s, each of which consists of n terms. If their first terms are 1, 2, 3, -----, p and common differences are 1, 3, 5, ---, 2p –1 respectively, then sum of the terms of all the progressions is
A
np(np+1)
B
n(p + 1)
C
np(n+1)
D
None of these .
Text Solution
Verified by ExpertsThe correct answer is:
A
The r th A. P. has first term r and common difference 2r – 1. Hence sum of its n terms = 
.
The required sum = 
= 
= 
= 
.
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