I need a little bit of help with my work!

Q1 -
Find the geometric means in the following sequence.

-9, ___, ___, ____, ____, -69,984

Q2-
Find Sn for the given geometric series. Round to the nearest hundreth
a1= 0.1 , a5= 814.5, r=9.5
Use the formula: Sn= Sn = a(1 - rn) / (1 - r)

Q3-
Find a1 for the given geometric series. Round to nearest hundredth.
Sn= 47,615 , r= 3, n=5
Use the formula : Sn=a1-a1r^n/1-r

1 answer

Q1. Well, 69984/9 = 1776 = 6^5, so ...
Q2. Sn = 0.1(1-9.5^n)/(1-9.5) = 1/85 (9.5^n - 1)
All you need is n for some Sn.
Q3. Using Q2, a1*(3^5 - 1)/(3-1) = 47615