The given geometric sequence 8,
16, 32, 64 with corresponding x
values of 1, 2, 3, 4 follows the
function equation f(x) = 8(2)'x,
where 8 represents the initial term
and 2 is the common ratio between
consecutive terms. By evaluating
the function for x values 1, 2, 3, and
4, the resulting terms are 16, 32,
64, and 128 respectively. Thus, the
simplified function equation for the
geometric sequence is f(x) = 8(2)x.
