Question:
In the binomial (2¹/³+3⁻¹/³)ⁿ, if the ratio of the seventh term from the beginning to the seventh term from the end is 1/6, then n is equal to:
In the binomial (2¹/³+3⁻¹/³)ⁿ, if the ratio of the seventh term from the beginning to the seventh term from the end is 1/6, then n is equal to:
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Use symmetry of binomial terms: Tᵣ+₁ and Tₙ-ᵣ+₁.
Updated On: Mar 18, 2026
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The Correct Option is B
Solution and Explanation
Step 1: Ratio of terms. T₇Tₙ-₆ = (2¹/³3⁻¹/³)¹³⁻ⁿ
Step 2: Simplification. 2¹/³3⁻¹/³ = (6)¹/³ (6)⁽¹³⁻ⁿ⁾/³ = (1)/(6)
Step 3: Solving. (13-n)/(3) = -1 n = 9
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