University sequences and series convergence quiz to download as PDF

This University sequences and series convergence quiz has 10 short questions for pupils aged 18-19. Type your answer, check it straight away and read the explanation when you get one wrong.

University sequences and series convergence quiz: the 10 questions

\(\lim\frac{n}{n+1}\)?
\(\sum_{n=0}^\infty(\tfrac12)^n\)?
Does \(\sum\frac1{\sqrt n}\) converge?
Radius of convergence of \(\sum x^n\)?
Name the test that uses \(\lim|a_{n+1}/a_n|\).
Is \(\sum(-1)^n/\sqrt n\) convergent?
\(\sum_{n=1}^\infty\frac1{2^n}\)?
Does \(\sum1\) converge?
Radius of convergence of \(\sum x^n/n\)?
A series that converges but not absolutely is called?

How to use this University sequences and series convergence quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the sequences and series convergence lesson and try again later. After that, try the multiple choice questions or the sequences and series convergence worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.