Answer:
c. converges, 6
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 1/2:
| 1/2 | = 1/2 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = 3 and r = 1/2:
S = 3 / (1 − 1/2)
S = 6
