Copyright © University of Cambridge. All rights reserved.
'Music to My Ears' printed from https://nrich.maths.org/
If you count "$1$" as you do your first clap, then "$2$" when you
clap for the second time, then "$3$" when you click, then "$4$" as
you clap again etc, this might help.
How many beats are there in one repetition of the rhythm?
You could write down numbers, say from $1$ to $12$ and underneath
each number write whether you are clapping or clicking. Do you
notice anything that the clicking numbers have in common?
How about writing down both rhythms with the beat numbers for the
second part of the problem? This might help you spot some patterns
again.