State the nth term of the following sequence: 3, 7, 11, 15, 19

Start by labelling each term, e.g. 3 is the 1st, 7 is the second etc

Find the difference between each term, in this case +4 so we know our nth term will start with 4n 

Now we substitute in the number for n, we usually use the 1st term since it's easy multiplying by 1. Doing 4x1 gives 4 however our first term is 3, so to get from 4 to 3 we need to -1 making our nth term 4n-1

Test this rule out on at least one other term to check so substituting in 2 we get 4(2)-1=7

The rule works so our nth term is 4n-1

Answered by Alice L. Maths tutor

12483 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is Pythagoras' theorem and what can it be used to figure out?


What's the key to solving simultaneous equations?


Find the derivative y= x^2-6x+20?


Solve 5x-6=3x+7


We're here to help

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