U9 Series(KA/PRE/U9)

Unit 9: Series

Geometric Series

A geometric series adds numbers that multiply by the same amount each time. Example: 1 + 2 + 4 + 8 + 16...

Geometric Series (with Summation Notation)

We can write a geometric series like this: Σ (from n = 0 to N) of arⁿ This is called summation notation.

Arithmetic Series

An arithmetic series adds numbers that increase by the same amount each time. Example: 2 + 4 + 6 + 8 + 10...

The Binomial Theorem

The binomial theorem helps us expand expressions like (a + b)ⁿ. It's like a recipe to figure out all the terms!

Quiz: Test Your Understanding

If we start with 1 and double each time, what is the 4th number?

1. 4
2. 8
3. 16