Name: True-False Quiz Question 17: Absolutely Convergent Series is Convergent
Uploaded: 2024-02-02T04:52:31+00:00
Duration: 1 min 26 s
Description: In this video I show that if a series is convergent, then an alternating series version of it also converges because that would be absolutely convergent. Adding (-1)^n to a series makes it alternate b

3 months ago

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Science Education quiz math calculus science stem education series sequence convergence

In this video I show that if a series is convergent, then an alternating series version of it also converges because that would be absolutely convergent. Adding (-1)^n to a series makes it alternate between positive and negative terms. An absolutely convergent series is also just normally convergent. This is because the terms approach zero regardless if they are positive or negative. Thus the answer to the question is True.

Time stamps:

- Question 17: 0:00
- Solution: True: 0:23
- Absolutely convergent series is also convergent: 0:48

Full video below:

- Infinite Sequences and Series: Review and True-False Quiz: https://youtu.be/F0dsQLdXXpI
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-review-and-true-false-quiz
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FCqXVJv1r7eJvrvphfkr6L