The nth Term Test for Divergence
Unknown Grade•45 minutes
Learning Objective
I can determine if a series diverges by applying the nth term test for divergence.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
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1. Explain the Divergence Test for series and describe under what condition a series is guaranteed to diverge.
2. Given the series Σ (from n=1 to ∞) of (2n + 1)/n², apply the Divergence Test to determine if the series diverges. Show your work.
3. For the series Σ (from n=1 to ∞) of 1/n, what is the limit as n approaches infinity? What conclusion can you draw about the convergence or divergence of this series based on the Divergence Test?
...and 4 more questions
Educational Video
nth term divergence test | Series | AP Calculus BC | Khan Academy
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