lots of numbers
Just For Fun

The Look-and-Say Sequence

In a previous blog I looked in more detail into “the daddy of all integer sequences” - the Fibonacci sequence. While the Fibonacci sequence is an impossible sequence to match up to, there are plenty of other intriguing integer sequences out there. So if you can deal with the disappointment… Continue reading The Look-and-Say Sequence

ripe pineapple on gray rock beside body of water
Just For Fun

The Fibonacci Sequence and the Golden Ratio

We have previously touched upon Fibonacci sequences when discussing different types of sequences for GCSE maths so you may already be familiar with them. This blog will go into more detail and show you some more uses of the Fibonacci sequence that you probably wouldn’t expect!What is the Fibonacci sequence?The… Continue reading The Fibonacci Sequence and the Golden Ratio

Hailstones
Just For Fun

Hailstone Numbers

In our blog we’ve already covered Kaprekar’s constant, as well as the (not-so) magic number 10. Here’s another cool little trick to sink your teeth into…First, pick a positive integer (whole number).Now, we are going to generate a sequence of numbers, starting with our starting number. Each term in the… Continue reading Hailstone Numbers

tutor and tutee
Foundation GCSE, Higher GCSE

How to find the nth term of a linear sequence

Following on from the last blog on identifying different types of sequences, in this blog I will show you how to find the nth term of a linear sequence. This is a relatively simple process, but is incredibly useful. What is the nth term, and why is it useful? First… Continue reading How to find the nth term of a linear sequence

A child with her maths tutor
Foundation GCSE, Higher GCSE

Different Types of Sequences for GCSE Maths

If you’re studying for your maths GCSE, you will have encountered a lot of different sequences. For both foundation and higher GCSE mathematics, you need to be able to identify these different types of sequences:1. Linear sequencesLinear sequences are the most common and simplest type of sequence you see in… Continue reading Different Types of Sequences for GCSE Maths