The geometric series with first term 3 converges to the sum of 2. Find the common ratio of the series .
The formula for the sum of an infinite geometric series is:
S = a / (1 - r)
where S is the sum of the series, a is the first term, and r is the common ratio.
In this case, we know that the first term is 3 and the sum is 2. So we can plug these values into the formula and solve for r:
2 = 3 / (1 - r)
2 - 2r = 3
-2r = 1
r = -1/2
Therefore, the common ratio of the series is -1/2.