nth term and sum of an AP or GP

Sample nth term and sum of an AP or GP 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 14 marksGrade 7
   An arithmetic progression has first term $5$ and common difference $3$. (a) Find the 20th term. [2] (b) Find the sum of the first 20 terms. [2]
   Show the worked solution

   $u_{20} = a+(n-1)d = 5+19(3) = 5+57 = 62$

What are the common mistakes in nth term and sum of an AP or GP?

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.

• Applies a given condition about the sums of a sequence's first n terms to the individual nth terms instead, confusing a sum (S_n) with a term (u_n).

  The condition given is about the SUMS $S_{20}$ and $S_{10}$, not the individual terms $u_{20}$

Quick answers about nth term and sum of an AP or GP

How many nth term and sum of an AP or GP practice questions are there?

There are 4 self-marking IGCSE and Additional Maths Maths questions on nth term and sum of an AP or GP, written for Cambridge IGCSE Additional Maths (0606), Pearson International GCSE Maths A (4MA1) across Higher and Single tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise nth term and sum of an AP or GP?

No. You can start practising nth term and sum of an AP or GP straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.