Review Question 3: Geometric Series and p-Series
In this video I go over a quick review of geometric series and p-series and show the circumstances for when they are convergent. A geometric series has all the terms being a constant number multiplied by a common ratio starting from the power of 0 and incrementing by 1 for each successive term. The series is convergent and equal to the (first term) / (1 - common ratio) when the absolute value of the common ratio is less than 1. I also show a geometric interpretation of the geometric series using similar triangles.
A p-series is of the form 1/n^p and it is convergent when p is greater than 1 and divergent for all other values.
The timestamps of key parts of the video are listed below:
- Question 3: 0:00
- Solution to (a): Geometric series: 0:28
- Geometric representation via similar triangles: 2:04
- Solution to (b): p-Series: 4:51
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 .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
2:43:40
Math Easy Solutions
1 day agoMES Livestream 17: New Year Emergency Broadcast
972 -
LIVE
The Pete Santilli Show
1 hour ago🇺🇸 Col. Douglas MacGregor Addresses The RE:PUBLIC 🇺🇸 LIVE with Pete Santilli - 4pm EST
953 watching -
34:49
Stephen Gardner
2 hours agoYou'll NEVER guess who's pulling Biden's strings!
5.52K46 -
LIVE
Film Threat
5 hours agoTHE ACOLYTE SHOCKING REVEAL! | Hollywood on the Rocks
338 watching -
LIVE
Revenge of the Cis
1 hour agoLocals Episode 166: Plan B
874 watching -
1:02:17
Canal Paulo Figueiredo
2 hours agoPaulo Figueiredo Show
6.65K2 -
1:00:46
Mally_Mouse
4 hours agoLet's Talk About It - LIVE
3.37K4 -
1:03:39
The Quartering
5 hours agoBiden To be REPLACED By Kamala Harris & Trump Just Keeps Winning!
33.2K51 -
1:21:01
Benny Johnson
2 hours ago🚨 PANIC: White House Holds SURPRISE Press Conference LIVE Right Now! Is Joe Biden RESIGNING Live!?
44.4K326 -
46:14
Candace Owens
23 hours agoLiterally Hitler. Why Can't We Talk About Him? | Candace Ep 17
28.3K133