The nth Term Test for Divergence

Unknown Grade45 min

Learning Objective

I can determine if a series diverges by applying the nth term test for divergence.

Lesson Flow

Watch Video

5 min

nth term divergence test | Series | AP Calculus BC | Khan Academy

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Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

Given the series Σ (from n=1 to ∞) of (5n + 2)/(2n² + 1), calculate the limit as n approaches infinity. Determine whether the series diverges using the Divergence Test. Show your work. For the series Σ (from n=1 to ∞) of (n³ - 4)/(3n³ + 2), find the limit as n approaches infinity. Use the Divergence Test to conclude if the series diverges. Show your work.

Teacher Guide

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