Worked Example 1: Finding the nth Term
Part of nth Term · GCSE GCSE Mathematics revision
This study notes covers Worked Example 1: 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 4 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 8
Practice
11 questions
Recall
4 flashcards
Worked Example 1: Finding the nth Term
Find the nth term of the sequence: 5, 9, 13, 17, 21, ...
Step 1 Find the common difference
9 − 5 = 4
13 − 9 = 4
Common difference d = 4
Step 2 Start the formula
nth term starts with 4n
Step 3 Compare to the sequence
4n gives: 4, 8, 12, 16, 20...
Sequence is: 5, 9, 13, 17, 21...
Each term is 1 more than 4n
So add 1: 4n + 1
Step 4 Check it works
n=1: 4(1)+1 = 5 ✓
n=2: 4(2)+1 = 9 ✓
n=3: 4(3)+1 = 13 ✓
Answer: nth term = 4n + 1
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 student claims that 50 is a term in the sequence with nth term 3n + 1. Show whether this claim is correct.
Quick Recall Flashcards
11 questions on nth Term — practise free
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