These University sequences and series convergence multiple choice questions check your understanding of sequences and series convergence with 10 questions for pupils aged 18-19. Each question has four answers, and the right one is explained as soon as you choose.
University sequences and series convergence multiple choice questions: the 10 questions
\(\sum\frac1{n^p}\) converges iff
\(\sum_{n=0}^\infty(\tfrac13)^n=\)
If \(a_n\to0\) then \(\sum a_n\)
Ratio test with \(\rho=1\) is
A bounded monotonic sequence
The radius of convergence of \(\sum x^n/n!\) is
\(\sum\frac{(-1)^n}{n}\) is
\(\sum\frac1{n(n+1)}=\)
The radius of convergence of \(\sum nx^n\) is
\(\sum\frac1{n^2+1}\) by comparison is
How to use these University sequences and series convergence multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the sequences and series convergence lesson.
Finally, practise more with the sequences and series convergence worksheet and the quiz. 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.
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