pancake with sliced strawberry
Just For Fun

The Lazy Caterer’s Sequence

In previous blogs, we’ve looked at some interesting integer sequences. We’ve looked at the Fibonacci sequence, the Look-and-say sequence, Golomb’s sequence and Van Eck’s sequence. Today, we’re looking at the Lazy Caterer’s sequence.You can find this sequence on the Online Encyclopedia of Integer Sequences here. How to generate the sequence… Continue reading The Lazy Caterer’s Sequence

eyeglasses with black frames
Just For Fun

Van Eck’s Sequence

In previous blogs, we’ve looked at some interesting integer sequences. We started with the Fibonacci sequence, then the “Look-and-say” sequence and most recently Golomb’s sequence. Today, it’s Van Eck’s sequence.The sequence was first published to the Online Encyclopedia of Integer Sequences (OEIS) in 2010 by a hobby mathematician called Jan… Continue reading Van Eck’s Sequence

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

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

student working
Higher GCSE

How to find the nth term of a quadratic sequence

Following on from our previous blogs on identifying different types of sequences and finding the nth term of a linear sequence, in this blog I will show you how to find the nth term of a quadratic sequence. It is important to note that this topic is only examinable on… Continue reading How to find the nth term of a quadratic sequence