1. 5.7&5.8 Day II: Arithmetic and Geometric Series.
By the end of class you will be able to calculate the sum of arithmetic and geometric series.

2. Gauss Punishment Problem
Without a calculator find the sum of the natural numbers from 1 to100
Gauss finished this problem in less than a minute when 10 years old!

3. Series vs. Sequences
Sequence: a collection of terms that follow a pattern/rule
Series: the sum of terms of a sequence

4. Arithmetic Series

5. Find the following sums
1) 4, 7, 10, 13….if n = 50
2) The first 30 even natural numbers

6. The Salary Dilemma
You are asked to work for the next 30 days at a fast food restaurant. Choose your salary from the following 2 choices:
$100,000 for the month
$.01 for day 1, $.02 for day 2, $.04 for day 3 etc.

7. Geometric Series

8. Find the following sums
2) The basketball bounce-original height = 60ft, sum of heights after 8 bounces.

9. Basketball problem extended
Will the basketball ever stop bouncing?
What will the final sum of basketball heights be?

10. Junk
You receive an from a friend and have to forward it to 7 of your friends to receive good luck. Those 7 friends forward it to 7 of their different friends. This process continues for 8 cycles. How many total s are sent?

11. Summarizer
Sequences and Series are alike because…. But different because….