AlgebraDeep Dive

Method: Finding the nth Term

Part of nth TermGCSE Mathematics

This deep dive covers Method: Finding the nth Term within nth Term for GCSE Mathematics. Revise nth Term in Algebra for GCSE Mathematics with 11 exam-style questions and 4 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 3 of 7

Practice

11 questions

Recall

4 flashcards

Method: Finding the nth Term

1
Find the common difference (d)

Subtract consecutive terms: 2nd − 1st = d

2
Write dn as the start of your formula

If d = 4, start with "4n"

3
Compare to the sequence

Work out what to add or subtract to match the first term

If 4n gives 4, 8, 12... but sequence is 3, 7, 11... need to subtract 1

4
Write the full formula and check

Test it works for n=1, n=2, n=3

Keep building this topic

Read this section alongside the surrounding pages in nth Term. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for nth Term

The nth term of a sequence is 3n + 2. What is the 5th term?

  • A. 17
  • B. 15
  • C. 13
  • D. 20
1 markfoundation

A student claims that 50 is a term in the sequence with nth term 3n + 1. Show whether this claim is correct.

2 markshigher

Quick Recall Flashcards

What is the nth term?
A formula that allows you to find any term in a sequence by substituting the position number (n)
What does 'n' represent?
The position number in the sequence (1st term: n=1, 2nd term: n=2, etc.)

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