Arithmetic Sequences and Series (2 of 3)

Part 1:
Arithmetic sequences have a constant difference, and as a result behave similarly to linear functions (y=mx+b). As a result, I show how to generate the nth term equation for an arithmetic sequences.

Part 2:
Problems covered:
Write an equation for the nth term of the arithmetic sequence or find a certain term in the sequence given:
1. The first few terms
2. The first term and the common difference
3. Another term and the common difference
4. 2 random terms

The sum of an arithmetic series formula is derived and explained logically.

Part 3:
I use the sum of an arithmetic series formula to find the sum of two arithmetic series. First, we know the first few terms and the total number of rows (finding the total cards in a house of cards), and for the second example, we find the total number of chairs in the auditorium by knowing the number of chairs in the first and last row (first and last term) and the common difference.

[davidtutorsmath]

Thanks for thanking. I will continue to upload as long as I'm teaching. :)

[abdulzizsg]

شكر لك من اعماق قلبي = Thank you from the bottom of my heart

[davidtutorsmath]

Sure thing. I love this: 1+2+3+...+98+99+100. Start adding in pairs starting from the outside and working in: 1+100=101, 2+99=101, 3+98=101, and so on. Keep on doing that and you'll have 50 pairs (100 total numbers divided by 2 for pairs) of numbers that all add up to 101. 101*50 pairs = 5050.

[rajsaj]

bro ur awesome thank you upload more

[davidtutorsmath]

I'd like to say I have some great tricks. And while I can do those things in my head (I do quite a bit in front of the class), I'm also prone to mistakes. So I keep a calculator handy while I make the videos. :)

[Lemoniwinks]

OMG this paper is sooo much easier than ours O.o

[sanjuable]

would do mind explainig that last part / adding up to 101 thingi... :(

[tawsifp]

At 2:50 shouldn't it be -8+5(55)?

[pablotre]

This way of solving this problem is wrong, I found several counter examples for this way of solving

[tawsifp]

Sorry i just realised you used the 0th term so it doesn't make a difference :L

[davidtutorsmath]

I'd like to say I have some great tricks. And while I can do those things in my head (I do quite a bit in front of the class), I'm also prone to mistakes. So I keep a calculator handy while I make the videos. :)