Answer:
r = 3/5
Step-by-step explanation:
S_∞ = a/(1 – r)
A geometric series has first term 2 and sum to infinity 5.
1)Find the common ratio.
= S_∞ = a/(1 – r)
5 = 2/1 - r
Cross Multiply
5(1 - r) = 2
5 - 5r = 2
5 - 2 = 5r
r = 5 - 2/5
r = 3/5
2)Find the sum of the first 10 terms of the series.
The sum of the first 10 terms =
S
