Name:____________________________________________ Date_________ Period____ A#___AFM Final Exam Review: Part 3 (Standard 2.04 Series and Sequences)

I can statements

I can use recursively-defined functions to model and solve problems.

I can find the sum of a finite sequence (arithmetic, geometric, or with a defined rule).

I can find the sum of an infinite sequence (geometric only).

I can determine whether a given sequence converges or diverges.

I can translate between recursive and explicit representations.

Notes and Concepts:

Arithmetic and Geometric Sequences and Series

Diverge or Converge what does it mean?

Does the sequence converge? Why or why not?

Does the sequence converge? Why or why not?

How does the recursive form match to the explicit form?

Sigma Notation:

Evaluate

Evaluate

Practice: