Published by:
CGP EDU Academic Team
Published on: August 14, 2026
For n 
N, in the expansion of 
, the sum of all the binomial coefficients lie between 200 and 400. Also, the term independent of x is 448, then the value of a is
Text Solution
Verified by ExpertsThe correct answer is:
2
2
200 < n C 0 + n C 1 + .. . + n C n < 400
200 < 2 n < 400
n = 8
For this term to be independent of x,
2r-6 = 0 
r = 3
T 4 = 8 C 3 a 3 
448 - 56a 3 
a 3 = 8
a = 2
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
If the 4 th term in the expansion of is 200, then the value of x is (where, x >1)
If the middle term in the binomial expansion of is , then the value of 6sin 2 x + sinx- 2 is
The number obtained after dividing the number formed by the last three digits of 17 256 by 100 is
If numerically greatest term in the expansion of (3- 5x) 11 , where , is 729 , then the value of …
If the 6 th term in the expansion of is 5600, then the value of x is
In the expansion of (ax + b) 2020 , if the coefficients of x 2 and x 3 are equal, then the value of…