Arithmetic Sequences and Series (1 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.

Category:

Education

Tags:

• algebra
• math
• tutorial
• arithmetic
• sequence
• series
• constant
• difference
• addition
• subtraction
• first
• term
• nth
• equation
• formula
• terms
• sum

[sanju0202able]

cn v say like 1 2 3 4 5 th term.. when they only givw the 4 7 10 13....?

[davidtutorsmath]

@sanju0202able I'm sorry, I don't understand your question. Do you mean, could a question ask for the 1st, 2nd, 3rd, 4th, or 5th term given 4, 7, 10, 13?

[5tr1k3r117]

Certainly helped explain things a lot better than my maths teacher, thanks.

[davidtutorsmath]

@5tr1k3r117 You're welcome. Thanks for appreciating! Good luck as you continue studying sequences and series.

[sanju0202able]

thnkz 4 da rply..... i gt it nw....... rly apprciate ur teaching and quick responses..... :)