GP convergence and sum to infinity

Sample GP convergence and sum to infinity questions

A few of the 4 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 8
   A geometric progression has first term $5$ and common ratio $3$. Explain why this progression does not have a sum to infinity. [2]
   Show the worked solution

   The sum-to-infinity formula only applies when $|r|<1$. Here $r=3$

What are the common mistakes in GP convergence and sum to infinity?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Uses 1+r in the denominator of the sum-to-infinity formula instead of the correct 1-r.

  The sum-to-infinity formula is $S_\infty=\dfrac{a}{1-r}$

Quick answers about GP convergence and sum to infinity

How many GP convergence and sum to infinity practice questions are there?

There are 4 self-marking Additional Maths Maths questions on GP convergence and sum to infinity, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise GP convergence and sum to infinity?

No. You can start practising GP convergence and sum to infinity straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.