Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a n be the n th term of an A.P. If 
= α and 
= β , then the common difference of the A.P. is :
A
α – β
B
C
β – α
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Let A.P. be a, a + d, a + 2d, .......
a 2 + a 4 + ...... + a 200 = α ⇒ 
[2(a + d)+ (100 – 1)d] = α .... (i)
and a 1 + a 3 + a 5 + ...... + a 199 = β ⇒ 
[2a + (100 – 1)d] = β .....(ii)
on solving (i) and (ii)
d = 
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