Arithmetic Sequences and Arithmetic Series - Basic Introduction

This video provides a basic introduction into arithmetic sequences and series. It explains how to find the nth term of a sequence as well as how to find the sum of an arithmetic sequence. It also discusses how to distinguish a finite sequence from an infinite series. It also includes a few word problems.
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Full 2 Hour 38 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3gNQcHI

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0:29 explaining 2:00 means 4:36 finding the nth term 7:12 partial sum 11:41 sequence and series 14:06 activity 19:51 defined by formula 21:06 next n terms 22:01 first n terms given a1 and d 22:38 recursive formula 26:16 explicit formula 32:13 formula for the nth term 37:23 find sum of the first n numbers 38:45 sum of all even numbers 41:18 sum of all odd integers from n

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For the sum in the few last questions, you can also use Sn=n/2[2a+(n-1)d] . You explain really well, thank you!

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@@zunigaruth1978 n is the number of terms you need to add a is the first term d is the common difference

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​​@@Taymaz_yt if we change 2a to a + a, it will be like this: Sn=n/2{a + [a+(n-1)d]} The a+(n-1)d is equal to An. So we can also modified it to Sn=n/2(a+An). It's the same formula that this video have been taught

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Actually, I prefer the one used in the vedio. Because it reminds me that I am taking an average of the terms multiple times(n times). That way, it's easier to remember it.

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Arithmetic Sequences and Arithmetic Series - Basic Introduction

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