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CGP EDU Academic Team
Published on: August 13, 2026
If there be m AP's beginning with unity whose common difference are 1, 2, 3,......m respectively . Show that the sum of their nth terms is (m/2)[ mn - m + n +1]
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First-term of each AP 
and common difference as 
, 
m.
The 
term of an AP is: 
Let 
represent the 
term of 
arithmetic progression.
………………………………………………
……………………………………………….
So, the sum ' 
' of all the 
terms is given by-
Hence, the sum of 
terms is 
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