9514 1404 393
Answer:
m = -6/7
Explanation:
The sum of an infinite geometric series with first term a1 and common ratio r is ...
S = a1/(1 -r)
Here we have the first term (3) and the sum (27/7) and we want to find r.
27/7 = 3(1 -r)
9/7 = 1 -r
r = 1 -9/7 = -2/7
Then the value of m is 3r = 3(-2/7) = -6/7.