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