Calculus Series - Problem Solvers™
Sequences in Closed Form, Testing Convergence of Sequences (CLS-PS-S1)

This sheet investigates how to write a sequence in closed form, given some of its listed terms, and tests sequences of different types of functions for convergence.

Topics Covered:

• Finding patterns in expanded forms of infinite sequences to rewrite them in closed form
• Testing sequences of alternating functions for convergence
• Testing sequences of rational functions for convergence
• Testing sequences of radical functions for convergence
• Testing sequences of exponential functions for convergence
• Testing sequences of logarithmic functions for convergence
• Testing sequences of hyperbolic functions for convergence