Section 11-1 Sequences and Series

Definitions A sequence is a set of numbers in a specific order 2, 7, 12, …

Definitions An arithmetic sequence is a sequence in which each term is equal to the sum of the preceding term and the common difference.

Definitions The difference between successive terms of an arithmetic sequence is a constant called the common difference d

1. What is the common difference?

2. Find the next three terms for the sequence

3. Find the next three terms for the sequence

Definitions An arithmetic series is the sum of the terms of an arithmetic sequence.

Definitions A geometric sequence is one in which each term after the first is a product of the proceeding term and a common ratio r.

5. What is the common ratio for 13, 91, 637 ?

Definitions Limit of a function at infinity The limit of a function is the limit as x approaches positive or negative infinity.infinity It means that x either grows without bound positively (positive infinity) or grows without bound negatively (negative infinity).

Definitions A sequence or series that is getting infinitely large is said to diverge.

Definitions A sequence or series that is getting infinitely small is said to converge.

Definitions The n th term is a general formula for the sum of the terms of a sequence or series

6. Find the limit of the sequence then determine if it converges or diverges

7.

8. Write … as a fraction

9. Write … as a fraction

Assignment Practice 11-1