The 6^{th} term of a G.P. is 32 and its 8^{th | vedclass

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(B) Given that the $6^{th}$ term $T_6 = 32$ and the $8^{th}$ term $T_8 = 128$.Using the formula for the $n^{th}$ term of a $G.P.$,$T_n = ar^{n-1}$,we

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$2$

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(B) Given that the $6^{th}$ term $T_6 = 32$ and the $8^{th}$ term $T_8 = 128$.Using the formula for the $n^{th}$ term of a $G.P.$,$T_n = ar^{n-1}$,we have:$T_6 = ar^5 = 32$ .....$(i)$$T_8 = ar^7 = 128$ .....$(ii)$Dividing equation $(ii)$ by equation $(i)$:$\frac{ar^7}{ar^5} = \frac{128}{32}$$r^2 = 4$$r = \pm 2$Since the options provided include $2$,the common ratio is $2$.

The $6^{th}$ term of a $G.P.$ is $32$ and its $8^{th}$ term is $128$,then the common ratio of the $G.P.$ is

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