MATH 227: 11.2 (Series - Convergent/Divergent)

1. How to determine if a series is geometric

2. How to determine if a geometric series is convergent or divergent

3. If the geometric series is convergent, what formula do you use to find the sum of the series

A. Any time you see n in the exponent (of all bases in the function)

B. Convergent when n < 1 and Divergent when n ≥ 1

C. a / 1 - n

1. How to determine if a series is a telescoping sum

2. How to determine if a telescoping series is convergent or divergent

1. any time you see # / polynomial (where the polynomial can be factored or is already fully factored) or any time you see (# / n) - (# / n)

2. If the limit exits at the end

1. What is the Divergence Test?

2. How do you use it.

2. You take the limit of the inside function and then plug the value of the limit into the function. If your answer is not equal to 0, then it diverges

Write the 3 properties of CONVERGENT Series

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)

Determine if the series is convergent or divergent. If the series converges, find its sum (if it’s a geometric or telescoping series)