Infinite Series Quizzes, Questions & Answers

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Top Trending Infinite Series Quizzes

Explore the behavior of series in mathematics through this quiz on converging and diverging series. Determine convergence, divergence, and conditional convergence of various mathematical series, enhancing critical analytical...

Questions: 7 | Attempts: 313 | Last updated: Mar 22, 2025

Sample Question 1
(*Note*: This is the only question I got from the an outside source, which in this case was out class notes)Find what the series converges to, if it converges: ∞ ∑ (n2+1)-1 n=1

3

1

Diverges

0

Sample Question 2
What does this series do: ∞ ∑ 8/ (3n2+ 2n+1) n=1

Converge

Diverge

Cannot Be Determines

Sample Question 3
What does the series do: ∞ ∑ 3n3/ (5n3+9) n=1

Cannot Be Determined

Converge

Diverge

Recent Infinite Series Quizzes

Convergence Tests, Absolute vs Conditional Convergence & Series Sums

Series convergence is one of the central ideas in calculus and real analysis, and this quiz explores the full range of tools used to analyze infinite sums. You will classify p-series and geometric series, apply core convergence...

Questions: 15 | Attempts: 10 | Last updated: Dec 15, 2025

Sample Question
Which of the following series is a p-series?

A. Σ∞n=1 1/n

B. Σ∞n=1 (-1)ⁿ/n

C. Σ∞n=1 1/n²

D. Both A and C

Convergence & Divergence of Infinite Series

Determining whether an infinite series converges or diverges is one of the core ideas in calculus and real analysis. This quiz guides you through essential convergence tests—including the nth-term test, comparison and...

Questions: 15 | Attempts: 10 | Last updated: Dec 15, 2025

Sample Question
For the series Σ∞n=1 (n²+1)/n, which of the following is the correct conclusion?

Converges because terms→0

Diverges by nth term test

Converges by ratio test

Converges by comparison to 1/n²