Respuesta :

The sum of this infinite series 80 +60 +45 +... is 320 after applying the formula of the sum of the infinite series.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have an infinite series

80 +60 +45 + ...

It is the geometric sequence

The common ratio r = 60/80 = 0.75

We know the sum of the infinite series is given by:

S = a/(1-r)

a is the first term.

S = 80/(1-0.75)

S = 320

Thus, the sum of this infinite series 80 +60 +45 +... is 320 after applying the formula of the sum of the infinite series.

Learn more about the sequence here:

brainly.com/question/21961097

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