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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.