Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.) 125 + 127 + 129 + 1211 +
Question
Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. (If the series is divergent, enter DIVERGENT.) 125 + 127 + 129 + 1211 +
Solution
The series you've provided doesn't appear to be a geometric series. A geometric series is a series where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
In your series, the terms are 125, 127, 129, 1211, and so on. There doesn't seem to be a common ratio here.
Therefore, we can't determine whether this series is convergent or divergent using the methods for a geometric series.
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