The nth term of a sequence is given by the formula n^3 + 11n . Find the first four terms of the sequence given by this formula and the first term of the sequence which is bigger than one million. Prove that all terms of the sequence are divisible by 6.
Partly Painted Cube
Age 14 to 16 Challenge Level:
How many different ways could you paint two faces of a cube? Or
three? Or four?
Can you work out a way of counting how many cubes are left
unpainted in each case?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.