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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

Related Stuffed Sheets:
Algebra Series:
Algebraic Fractions, Rules of Exponents, Operations on Polynomials 1 (ALG-CF3)
Operations on Polynomials, Polynomial Factoring Techniques (ALG-CF4)
Rational Algebraic Expressions, Operations on Rational Algebraic Expressions (ALG-CF5)
Continued Fractions, Exponents and Radicals (ALG-CF6)
Approximations of Real Polynomial Functions, Rational Functions 1 (ALG-CF26)
Exponential Functions 2, Logarithmic Functions (ALG-CF30)
Sequences and Series 1 (ALG-CF32)
Calculus Series:
Limits and Differentiation Formulas (CLS-CF1)
Applications of Differentiation 2 (CLS-CF3)
Infinite Sequences and Series 1 (CLS-CF8)

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Last Update: 08/25/14