In a G.P.,the first term is 7,the last term i | vedclass

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(D) Given: First term $a = 7$,last term $l = a_n = 448$,and sum $S_n = 889$.Let $r$ be the common ratio.The formula for the sum of a $G.P.$ is $S_n =

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$2$

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(D) Given: First term $a = 7$,last term $l = a_n = 448$,and sum $S_n = 889$.Let $r$ be the common ratio.The formula for the sum of a $G.P.$ is $S_n = \frac{a - lr}{1 - r}$.Substituting the given values: $889 = \frac{7 - 448r}{1 - r}$.Multiplying both sides by $(1 - r)$: $889(1 - r) = 7 - 448r$.$889 - 889r = 7 - 448r$.Rearranging the terms: $889 - 7 = 889r - 448r$.$882 = 441r$.$r = \frac{882}{441} = 2$.Thus,the common ratio is $2$.

In a $G.P.$,the first term is $7$,the last term is $448$,and the sum is $889$. Find the common ratio.

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