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Convergent Sequence: Definition, Formula & Examples

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What is a sequence of numbers?

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1. If a sequence is convergent, which of the following statements is true?

2. Consider the sequence: 2, 4, 6, 8, 10, ... Find a formula for the nth term of the sequence.

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About This Quiz & Worksheet

This worksheet/quiz will test what you know about convergent sequences, including related formulas. You'll be answering questions on key topics like how to define a sequence of numbers and a characteristic of a sequence that's convergent.

Quiz & Worksheet Goals

These areas will be covered as well:

  • The formula for the nth term of a sample sequence
  • Interpreting a sequence when given the formula for the nth term and the limit as n approaches infinity
  • What must be true about a sample sequence when given the limit of n/5

Skills Practiced

  • Problem solving - use acquired knowledge to solve practice problems involving convergent sequences
  • Information recall - access the knowledge you've gained regarding what a sequence of numbers is
  • Knowledge application - use your knowledge to answer questions about sample sequences when given the limit and the formula for the nth term

Additional Learning

Learn more about sequences with the lesson named Convergent Sequence: Definition, Formula & Examples. These key areas will be addressed:

  • The definition of 'limit' in this context
  • Understanding convergence via a simple sequence of counting numbers
  • Steps for determining if a sequence is convergent
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