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Find : the 8th Term of the G.P. 0.3, 0.06, 0.012, ...

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Question

Find :

the 8th term of the G.P. 0.3, 0.06, 0.012, ...

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Solution

Here,

\[\text { First term }, a = 0 . 3\]

\[\text { Common ratio }, r = \frac{a_2}{a_1} = \frac{0 . 06}{0 . 3} = 0 . 2\]

\[ \therefore 8th\text { term } = a_8 = a r^{(8 - 1)} = 0 . 3(0 . 2 )^7 \]

\[\text { Thus, the 8th term of the given GP is } 0 . 3(0 . 2 )^7 .\]

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