📚

 > 

♾️ 

 > 

10.3 The nth Term Test for Divergence

1 min readjune 18, 2024


AP Calculus AB/BC ♾️

279 resources
See Units

https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(565).png?alt=media&token=82ef0962-e596-4057-9582-aa6d6f26dd52

What is the nth Term Test?

The nth term test is probably the test that can be applied to the most series.
It says:
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(721).png?alt=media&token=bc7a5c93-fd60-4d2f-8020-b283d3425621
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(723).png?alt=media&token=d4a6c843-f5b4-4ab8-a914-c8992d023f0d

Problems

1. State the nth term test.
Use the nth term test to determine whether the following series converges or diverges.
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(725).png?alt=media&token=8a4f5186-8016-40ca-b1ea-de81e0a1728b
Browse Study Guides By Unit
👑Unit 1 – Limits & Continuity
🤓Unit 2 – Fundamentals of Differentiation
🤙🏽Unit 3 – Composite, Implicit, & Inverse Functions
👀Unit 4 – Contextual Applications of Differentiation
Unit 5 – Analytical Applications of Differentiation
🔥Unit 6 – Integration & Accumulation of Change
💎Unit 7 – Differential Equations
🐶Unit 8 – Applications of Integration
🦖Unit 9 – Parametric Equations, Polar Coordinates, & Vector-Valued Functions (BC Only)
📚Study Tools
🤔Exam Skills