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Question

Question: The <img src="https://cdn.pureessence.tech/canvas_580.png?top_left_x=300&top_left_y=1414&width=300&h...

The term of the series will be.

A

110171 \frac { 10 } { 17 }

B

1017\frac { 10 } { 17 }

C

1627\frac { 16 } { 27 }

D

1727\frac { 17 } { 27 }

Answer

110171 \frac { 10 } { 17 }

Explanation

Solution

Given series

Hence nthn ^ { t h } term of given series

Tn=272n1T _ { n } = \frac { 27 } { 2 n - 1 }

So, T9=272×91=2717=11017T _ { 9 } = \frac { 27 } { 2 \times 9 - 1 } = \frac { 27 } { 17 } = 1 \frac { 10 } { 17 }.