Based on the calculations, the sum of this geometric series is equal to 9,990.
The standard form of a geometric series.
Mathematically, the standard form of a geometric series can be represented by the following expression:
[tex]\sum^{n-1}_{k=0}a_1(r)^k[/tex]
Where:
- a₁ is the first term of a geometric series.
How to calculate the sum of a geometric series?
Also, the sum of a geometric series is given by this mathematical expression:
[tex]S=\frac{a_1(1-r^n)}{1-r}[/tex]
Given the following data:
- Common ratio, r = 900/9000 = 0.1
Substituting the given parameters into the formula, we have;
[tex]S=\frac{9000(1-0.1^3)}{1-0.1}\\\\S=\frac{9000(1-0.001)}{1-0.1}[/tex]
S = 9000(0.999)/0.9
S = 8,991/0.9
S = 9,990.
Read more on geometric series here: brainly.com/question/12630565
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