Year P16 Being resourceful

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?

Find the sum of this series of surds.

Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.

Can you work out the equations of the trig graphs I used to make my pattern?