{7^{th}} term of the sequence sqrt 2 ,;sqrt { | vedclass

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Question

(d) Given sequence is $\sqrt 2 ,\;\sqrt {10} ,\;\sqrt {50} ........$

Common ratio $r = \sqrt 5 $,

first term $a = \sqrt 2 $, then ${7^{th}}$ ter

Vedclass · Accepted Answer

$125\sqrt 2 $

Vedclass · Answer

(d) Given sequence is $\sqrt 2 ,\;\sqrt {10} ,\;\sqrt {50} ........$

Common ratio $r = \sqrt 5 $,

first term $a = \sqrt 2 $, then ${7^{th}}$ term

${t_7} = \sqrt 2 {(\sqrt 5 )^{7 - 1}} = \sqrt 2 {(\sqrt 5 )^6}$

$= \sqrt 2 {(5)^3} = 125\sqrt 2 $.

${7^{th}}$ term of the sequence $\sqrt 2 ,\;\sqrt {10} ,\;5\sqrt 2 ,\;.......$ is

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