The nth Term Test for Divergence
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Objective
I can determine if a series diverges by applying the nth term test for divergence.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Explain the Divergence Test for series and describe under what condition a series is guaranteed to diverge.
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.
Part 3 of 3
Exit ticket
Quick comprehension check
“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. ”
Sample answer included in the free materials
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