dy dt = y cost y y t

Chapter 10: Infinite Sequences and Series ____________________________________________________________ 10.1 Sequence Sequence: a list of numbers in a given order; the list can either be finite or infinite For example: - {1, 2, 3, 4, 5, . . .} - {1, -2, 4, -8, 16, -32, . . .} - { √ √ √ √ , 4 , 5 , . . .} - {a , a , a , a , . . . , a , . . .} 1 2 3 4 n - Note: 1. Describe a Sequence by its Formula - - - - - 2. Convergence of a Sequence Example 1: Example 2: Example 3: 3. Find the Limit of a Sequence - It’s the same as finding the limit of a function Example 1: Example 2: Example 3: Example 4: Example 5: Note: Example 6: Note