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Find the sum of the geometric series. Give the exact answer. 120+120⋅3/5 +120³/⁵²³/⁵²

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User Oreoshake
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Final answer:

The sum of the geometric series is 300.

Step-by-step explanation:

To find the sum of the geometric series, we need to determine the common ratio and the first term of the series. Given the first term (a) as 120 and the common ratio (r) as 3/5, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

Plugging in the values, we have:

S = 120 / (1 - 3/5)

Simplifying further:

S = 120 / (2/5)

S = 120 * 5/2

S = 300

Therefore, the sum of the geometric series is 300.

User Andrew Willis
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