Name: True-False Quiz Question 18: Convergence by the Ratio Test
Uploaded: 2024-02-06T04:41:45+00:00
Duration: 1 min 49 s
Description: In this video I go over a quick question that involves applying the Ratio Test to find that a series is convergent and thus the terms approach zero as n goes to infinity. If every term of a sequence i

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Health & Science Education math calculus science stem education series sequence ratio test convergent

In this video I go over a quick question that involves applying the Ratio Test to find that a series is convergent and thus the terms approach zero as n goes to infinity. If every term of a sequence is greater than zero, and the ratio of each next term to the current term is less than 1 as n approaches infinity, then this is merely the Ratio Test for a convergent series. Thus, if a series is convergent, its terms approach zero, and the answer to our question is True.

Time stamps:

- Question 18: 0:00
- Solution: True: 0:20
- Applying the Ratio Test: 0:56

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