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Which equation represents the partial sum of the geometric series?

4
Σ (125)(1/5)^n-1
n=1

Which equation represents the partial sum of the geometric series? 4 Σ (125)(1/5)^n-example-1
User Ruu
by
7.5k points

1 Answer

3 votes

Answer:

Option 1

Explanation:

Given expression representing the partial sum of the geometric series,


\sum_(n=1)^(n=4)(125)((1)/(5))^(n-1)

Expression that represents the sum of a geometric series is,


\sum_(n=1)^(n)(a)(r)^(n-1)

Here, n = number of terms

a = first term

r = common ratio

By comparing both the expressions,

n = 4

a = 125

r =
(1)/(5)

From the given options,

Option 1

First term 'a' = 125

Common ratio 'r' =
(25)/(125) =
(1)/(5)

Number of terms 'n' = 4

Therefore, Option 1 will be the correct option.

User Kezia
by
7.8k points

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