ย Converges; -8/3
Step-by-step explanation:
The formula for the sum of a geometric sequence is ...
ย S = a1/(1-r)
where a1 is the first term (-4) and r is the common ratio (-1/2). Filling in these values, we get ...
ย S = -4/(1 -(-1/2)) = -4(2/3) = -8/3
The series converges to a sum of -8/3.