Review Question 1: Convergent Sequence vs Convergent Series

In this video I go over a quick review of what convergent sequences and convergent series are. A sequence is just a list of numbers, and it is said to be convergent if its limit approaches a specific number as the number of terms gets large. A series is a summation of a sequence, and it is said to be convergent if the limit of the n-th partial sum of the sequence approaches a specific real number. I compare the definitions for when a both the sequence and series converge to the number 3.

The timestamps of key parts of the video are listed below:

• Question 1: 0:00
• Solution to Part (a): Convergent sequence: 0:39
• Solution to Part (b): Convergent series: 2:29
• Solution to Part (c): Limit of sequence equals 3: 4:31
• Solution to Part (d): Limit of series equals 3: 4:59

This video was taken from my earlier video listed 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

Related Videos:

Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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