Answer:
Explanation:
The explicit and recursive formula for a geometric sequence is represented by the following:
The common ratio of the pattern is:
Then, for the explicit formula:
Recursive formula:
Now, to determine if the pattern converge or diverge:
Since the common ratio is less than 1, the series converges to:
A sum of an infinite geometric series can be determined if it converges since this pattern converges, the sum would converge to;