8th term of the series will be. | MATH - ARITHMETIC PROGRESSION | SolveeIt

8^th term of the series will be.

$- 5 \sqrt { 2 }$

$5 \sqrt { 2 }$

$10 \sqrt { 2 }$

$- 10 \sqrt { 2 }$

Answer

$- 5 \sqrt { 2 }$

Explanation

Obviously the given series $2 \sqrt { 2 } + \sqrt { 2 } + 0 + \ldots \ldots$ is an A.P. Here $a = 2 \sqrt { 2 } , d = - \sqrt { 2 }$ .

Hence term of the series $= 2 \sqrt { 2 } + ( 8 - 1 ) ( - \sqrt { 2 } ) = - 5 \sqrt { 2 }$ .

Question: 8<sup>th</sup> term of the series <img src="https://cdn.pureessence.tech/canvas_201.png?top_left_x=1...