The integral test and p-series Quiz
10 questions · easy to harder · Calculus 2 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 10 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Does Σ 1n2 converge- A) Converges
- B) Diverges
2 Question 2
Does Σ 1n3 converge- A) Converges
- B) Diverges
3 Question 3
Does Σ 5n2 converge- A) Converges
- B) Diverges
4 Question 4
Does Σ 1n4 converge- A) Converges
- B) Diverges
5 Question 5
Does Σ 1n1/3 converge- A) Converges
- B) Diverges
6 Question 6
Does Σ 1/(n + 1)2 converge- A) Converges
- B) Diverges
7 Question 7
Does Σ 4/√n converge- A) Converges
- B) Diverges
8 Question 8
Does Σ 3n/(n2 + 4) converge- A) Converges
- B) Diverges
9 Question 9
Does Σ 6/(n + 3)2 converge- A) Converges
- B) Diverges
10 Question 10
Use the integral test on Σ 1n2/3- A) Converges
- B) Diverges