Answer:
a1 = 1/2
r = 3/4
n = 5
Explanation:
The given geometric series is:
![(1)/(2)+(3)/(8)+(9)/(32)+(27)/(128)+(81)/(512)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ftfzwn98npxsc36pv5tmtdi70j6zx28mt9.png)
a1 represents the first term of the series. From the above series we can see that the first term is 1/2
r is the common ratio of a geometric series. It can be calculated by dividing any term of the geometric series with its previous terms. For the given series r will be:
![r=((3)/(8) )/((1)/(2) )=(3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5klo175dogf6pm17z135z428rb6k3noin6.png)
n represents the number of terms in the series. From the above series we can count the number of terms to be 5.