Is it possible to build variable names from other variables in bash?

I apologise for the pretty terrible title - and the poor quality post - but what I basically want to do is this:

for I in 1 2 3 4
    echo $VAR$I # echo the contents of $VAR1, $VAR2, $VAR3, etc.

Obviously the above does not work - it will (I think) try and echo the variable called $VAR$I Is this possible in Bash?