Question

$7 ^ { t h }$ term of the sequence $\sqrt { 2 } , \sqrt { 10 } , 5 \sqrt { 2 } , \ldots \ldots$ is.

• A. $125 \sqrt { 10 }$
• B. $25 \sqrt { 2 }$
• C. 125
• D. $125 \sqrt { 2 }$

Answer 1

Answer: (D)

$125 \sqrt { 2 }$

Answer 2

Given sequence is

Common ratio $r = \sqrt { 5 }$, first term $a = \sqrt { 2 }$ ,

then term

$t _ { 7 } = \sqrt { 2 } ( \sqrt { 5 } ) ^ { 7 - 1 } = \sqrt { 2 } ( \sqrt { 5 } ) ^ { 6 } = \sqrt { 2 } ( 5 ) ^ { 3 } = 125 \sqrt { 2 }$.