Weekly Problem 46 - 2012

If a number is even, halve it; if odd, treble it and add 1. If a sequence starts at 13, what will be the value of the 2008th term?

Weekly Problem 35 - 2014

A sequence is generated using these rules. For which values of n is the nth term equal to n?

Weekly Problem 51 - 2006

Can you work out which number will appear directly below 400 in this pattern?

Weekly Problem 1 - 2008

Given that the number 2008 is the correct answer to a sum, can you find n?

Weekly Problem 52 - 2010

Leonard writes down a sequence of numbers. Can you find a formula to predict the seventh number in his sequence?

Weekly Problem 41 - 2012

The fifth term of a Fibbonaci sequence is 2004. If all the terms are positive integers, what is the largest possible first term?

Weekly Problem 44 - 2012

Consider two arithmetic sequences: 1998, 2005, 2012,... and 1996, 2005, 2014,... Which numbers will appear in both?

Weekly Problem 51 - 2017

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?