Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of integral terms in the expansion of 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
171
(171)
Given expansion is 
The general term in the expansion (x + a) n is T r+l = n C r .x n-r a r
For 
to be rational r should be a multiple of 4.
r = 0,4,8,12,.....680
a n = a+(n- l)d
680 = 0 +(n - 1)4
n=171
That means r can take 171 values.
Hence, the required answer is 171
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