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Which of the following represents the series in summation notation?

3 + 3/5 + 3/25 + 3/125 + 3/625

User Ycx
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2 Answers

7 votes


\sum_(n=0)^(4) \frac{3}{ {5}^(n) }
User Pablo Jomer
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7 votes

Answer with explanation:

The given series is:


\Rightarrow 3+(3)/(5)+(3)/(25)+(3)/(125)+(3)/(625)+.........\\\\\Rightarrow 3+(3)/(5)+(3)/(5^2)+(3)/(5^3)+(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
=((3)/(5))/(3)\\\\=(1)/(5)

In Summation Notation


\sum_(k=1)^(k=\infty) (3)/(5^(k-1))

User Yuberka
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