Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Number of rational terms in the expansion (7 1/3 + 11 1/9 ) 6561
Text Solution
Verified by ExpertsThe correct answer is:
B
T r+1 = 6561 C r (7 1/3 ) 6561 – r (11 1/9 ) r
= 6561 C r 7 2187 . 7 –r/3 . 11 r/9
0 ≤ r ≤ 6561
For rational terms r is multiple of 9 0, 9, 81, 27,……6561
T n = 6561 = a +(n – 1) d = 0 + (n – 1) 9
n = 1 + 
= 1 + 729 = 730.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems