Arithmetic Sequences
- In an arithmetic sequence/progression, the difference between two consecutive numbers is constant.
- The constant difference is called the common difference and it is denoted by d.
- Arithmetic sequences follow the pattern:
u , u + d, u + 2d, u +3d, u + 4d, ....
- Where u is the starting number and d is the common difference.
- You might have noticed how this notation looks like a function, that's cause it is!
- By replacing u with x, we can graph it!
- The graph of an arithmetic sequence will look like a straight line of some kind.
Arithmetic Series
- An arithmetic series is an arithmetic sequence where all the individual terms are summed together.
- Arithmetic sequences follow the pattern:
u + u + d + u + 2d + u +3d + u + 4d+....
- Where u is the starting number and d is the common difference.
Sum of an Arithmetic Series
- While infinite arithmetic series have an infinite (or negative infinite) sum, we can find the sum of finite arithmetic series.
