Determine whether the sequence converges or diverges. If it converges, give the limit.
[tex]48, 8, \frac{4}{3}, \frac{2}{9}, \ldots[/tex]
Answer (2)
This is a geometric progression, with ratio 6 1 . The terms will get smaller and smaller, but will remain strictly positive. It does converge to 0.
The sequence is a geometric progression with a common ratio of 6 1 , which is less than 1, indicating that the sequence converges. The limit of the converging sequence is 57.6 .
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