1. Today in Precalculus Go over homework
Notes: Infinite Series(no handout, need a calculator)
Homework

2. Series
Example: Find the sum of the geometric series: … + 1/32
What happens if we change n to a) 20, b) 50, c) 100?

3. Infinite Series
This expression is called an infinite series

4. Infinite Series An infinite series can either:
Converge – if, as n increases, the series sum approaches a value (S)
Diverge – if as n increases, the series sum does NOT approach a value.

5. Example Do the following series converge or diverge?…
1 + (-3) (-27) …
Diverges
Converges
Diverges
Can an infinite arithmetic series converge?

6. Sum of an Infinite Geometric Series

7. Does the following series converge? If so, give the sum.
So it converges

8. Do the following series converge? If so, give the sum.
So it diverges
So it converges

9. Does the following series converge? If so, give the sum.
So it converges

10. Homework
Worksheet
Chapter 9 Test: January 26

11. Series =16 At some point the calculator begins to round off (1 – 1/2n)