Published by:
CGP EDU Academic Team
Published on: August 14, 2026
In the expansion of
, the sum of the binomial coefficients is 256 and four times the term with greatest binomial coefficient exceeds the square of the third term by 21n, then find 4x.
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Sol. 2 n = 256 = 2 8
n = 8

4 T 5 = T 32 + 21n
4 × 8 C 4 × 
1120 × 3 x/4 = (28 × 3 x ) 2 + 21n
1120 × 3 x/4 = 28 2 × 3 2x + 21 × 8
⇒ 
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