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

Series Example: Find the sum of the geometric series: 8 + 4 + 2 + … + 1/32 What happens if we change n to a) 20, b) 50, c) 100?

Infinite Series This expression is called an infinite series

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.

Example Do the following series converge or diverge? 2 + 4 + 6 + 8 + 10 +… 1 + (-3) + 9 + (-27) + 216 + … Diverges Converges Diverges Can an infinite arithmetic series converge?

Sum of an Infinite Geometric Series

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

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

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

Homework Worksheet Chapter 9 Test: January 26

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