Describing patterns and sequences

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?