In a G.P., 3^{rd} term is 24 and 6^{text {th }} term is 192 . 10^{text {th }} term.

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8. Sequences and Series

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In a $G.P.,$ the $3^{rd}$ term is $24$ and the $6^{\text {th }}$ term is $192 .$ Find the $10^{\text {th }}$ term.

A

$3072$

B

$3072$

C

$3072$

D

$3072$

Solution

Here, $a_{3}=a r^{2}=24$ ……..$(1)$

and $a_{6}=a r^{5}=192$ ………..$(2)$

Dividing $(2)$ by $(1),$ we get $r=2 .$ Substituting $r=2$ in $(1),$ we get $a=6$

Hence $\quad a_{10}=6(2)^{9}=3072$

Standard 11

Mathematics

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