AlgebraIntroduction

The Formula for Any Term

Part of nth Term · GCSE GCSE Mathematics revision

This introduction covers The Formula for Any 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 1 of 8 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 8

Practice

11 questions

Recall

4 flashcards

The Formula for Any Term

You've spotted a pattern in a sequence: 5, 9, 13, 17... (+4 each time). But what if you needed the 100th term? You wouldn't count them all! Instead, you'd use a formula called the "nth term" that lets you find ANY term instantly. It's like having a mathematical shortcut for any position in the sequence.

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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.

Key Vocabulary Method: Finding the nth Term Worked Example 1: Finding the nth Term

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.)

11 questions on nth Term — practise free

Instant marking, adaptive difficulty, and 4 spaced repetition flashcards. Free until your GCSEs.

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nth Term

Key Vocabulary