Question:
If in the expansion of (2x+14x)ⁿ, T₃ = 7T₂ and the sum of the binomial coefficients of second and third terms is 36, then the value of x is:
If in the expansion of (2x+14x)ⁿ, T₃ = 7T₂ and the sum of the binomial coefficients of second and third terms is 36, then the value of x is:
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Compare ratios of consecutive terms.
Updated On: Mar 17, 2026
- -(1)/(3)
- -(1)/(2)
- (1)/(3)
- (1)/(2)
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The Correct Option is D
Solution and Explanation
n1+n2=36 n=8
T₂ = 81(2x)⁷((1)/(4x))
,
T₃=82(2x)⁶((1)/(4x))²
Given T₃=7T₂, solving gives:
x=\frac12
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