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In which of the following type of series sum grows indefinitely as the number of terms rises?
18. In which of the following type of series sum grows indefinitely as the number of terms rises?
- Geometric series
- Alternating series
- Divergent series
- Convergent series
Answer
The correct answer is: C) Divergent series
Explanation
The sum of a divergent series expands indefinitely as the number of terms increases. In other words, as more terms are added to a divergent series, the total of the terms does not approach a finite number; instead, it becomes indefinitely huge.
The harmonic series is an example of a divergent series:
1 + 1/2 + 1/3 + 1/4 + 1/5 +