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Question

Mathematics Question on Arithmetic Progression

Let m and n be the coefficient of 7th7^{th} and 13th13^{th} term in expansion of (13x13+12x25)18\bigg(\frac{1}{3x^{\frac{1}{3}}} +\frac{1}{2x^{\frac{2}{5}}}\bigg)^{18}, then (mn)13\bigg(\frac{m}{n}\bigg)^{\frac{1}{3}} is:

A

14\frac{1}{4}

B

47\frac{4}{7}

C

19\frac{1}{9}

D

49\frac{4}{9}

Answer

49\frac{4}{9}

Explanation

Solution

The Correct Option is (D): 49\frac{4}{9}