Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the sum of the series
is 
,where 
and 
are co-prime, then 
is equal to _____
Text Solution
Verified by ExpertsThe correct answer is:
7
(7)
Given,
Series 
Now let a = 
, b = 
So, series will be:
(a - b)+(a 2 - ab + b 2 ) + (a 3 - a 2 b + ab 2 - b 3 )+.....
= 
((a 2 -b 2 ) + (a 3 + b 3 ) + (a 4 -b 4 ) +...)
= 
(a 2 + a 3 + a 4 ...-(b 2 -b 3 + b 4 ....))
Now using infinite G. P formula we get,
Now putting the value of a & b we get,
Hence, 
=1 + 6 = 7
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