The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence

In order to find the nth term of a sequence you need to keep the structure of the nth term sequence in mind (dn+x). The first thing we want to do is find 'd'. In this case 'd' stands for difference, which is the difference between each of the terms given. In this case it is 4. Therefore, the sequence must begin '4n'. Then, we can work out the rest of the seuence by applying nth term rules. If 9 is the first term of the sequence then 4(1)+x=9. Therefore x=5 and the nth term sequence looks like this: 4n+5.

Answered by India B. Maths tutor

6252 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Pythagoras' Theorem


Why do I have to study maths?


How do I solve simultaneous equations?


When should you use the sine rule and when should you use the cosine rule?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences