Review Question 12: Binomial Series
In this video I over a quick recap on the binomial series, its radius of convergence, and its binomial coefficients. A binomial series is an infinite series for the function (1 + x)^k where k is any real number and the series is convergent when the absolute value of x is less than 1. The terms of the series consist of the binomial coefficients multiplied by x^n. The binomial coefficients, often pronounced as "k choose n", have the formula k! / (n! (k - n)!, and represent the number of was to choose n elements from a set of k. For example, 4 choose 2 = 6 ways to choose 2 numbers from a set of 4 numbers: {1, 2}, {1,3}, {1,4}, {2,3}, {2,4}, and {3,4}.
The timestamps of key parts of the video are listed below:
- Question 12: Binomial Series 0:00
- Solution: 0:15
- Binomial coefficients: 2:03
- n choose 3 binomial coefficient example: 2:30
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 .
------------------------------------------------------
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
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
-
3:25:28
Math Easy Solutions
9 days ago $0.02 earnedMES Livestream 48: Voice to Skull Technology and Targeted Individuals
2231 -
1:04:44
The Anthony Rogers Show
17 hours agoEpisode 233 - Mind Reading
51.9K15 -
2:01:48
Melonie Mac
13 hours agoGo Boom Live Ep 16!
50.3K15 -
4:24:35
Brad After Dark
13 hours ago❤️🔥 Best Live Performances! ❤️🔥
59.1K3 -
58:37
The StoneZONE with Roger Stone
13 hours agoDid Iran Infiltrate Trump Campaign Computers? The StoneZONE w/ Roger Stone
54.8K18 -
3:10:17
Fresh and Fit
11 hours agoReligious Debate
113K415 -
1:40:37
Glenn Greenwald
11 hours agoJournalists Shield Kamala From Interviews; The Media Changed Its Rules For Hacked Materials in 2020: So What Now?; Major Leak About Brazil's Notorious Censorship Judge | SYSTEM UPDATE #315
84.4K125 -
2:22:37
WeAreChange
10 hours agoBREAKING: They Rolled Out The MONKEYPOX Global 'EMERGENCY'
79.8K82 -
39:51
Standpoint with Gabe Groisman
9 hours agoEP. 42 What's Going on at the UN? Amb. Gilad Erdan
49.7K16 -
1:50:25
2 MIKES LIVE
13 hours ago2 MIKES LIVE #103 News Breakdown Wednesday with special guest MARK WHITE from the SPIN DOCTORS!
38.2K3