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garik1379 [7]
3 years ago
8

Which of the following represents the series in summation notation?

Mathematics
2 answers:
Svetach [21]3 years ago
7 0

Answer with explanation:

The given series is:

    \Rightarrow 3+\frac{3}{5}+\frac{3}{25}+\frac{3}{125}+\frac{3}{625}+.........\\\\\Rightarrow 3+\frac{3}{5}+\frac{3}{5^2}+\frac{3}{5^3}+\frac{3}{5^4}+.........

This is a Geometric Expression because the ratio of next term to Previous term is Constant for any two consecutive term in the series which is equal to =\frac{\frac{3}{5}}{3}\\\\=\frac{1}{5}

In Summation Notation

   \sum_{k=1}^{k=\infty} \frac{3}{5^{k-1}}

TiliK225 [7]3 years ago
4 0

\sum_{n=0}^{4}  \frac{3}{ {5}^{n} }
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Please see the attachment

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