When all the terms of a geometric sequence are added, then that expression is called geometric series. The correct option is C.
What is a geometric series?
When all the terms of a geometric sequence are added, then that expression is called geometric series.
The given series is a geometric series in the form [tex]\sum_{n=1}^5 6(0.6)^{n-1}[/tex], where
- The series has 5 terms, n = 5
- The first term of the series is 6, a₁ = 6
- The common ratio between the terms, r= 0.6
Now, the sum of the given geometric series can be written as,
[tex]\rm Sum = a_1\dfrac{(1-r^n)}{(1-r)}[/tex]
[tex]= 6\dfrac{(1-0.6^5)}{(1-0.6)}[/tex]
Hence, the correct option is C.
Learn more about Geometric Sequence:
brainly.com/question/1607203
#SPJ2
