The first term is a = 1/4
The common ratio is d = 1/2.
The sum of geometric progression is S = 31/64.
The formula for the geometric progression is,

Substitute the given values in the expression to obtain the value of n.

The nub er of terms is n = 5.
The last term of geometric progression is,

Substitute the values in the equation to obtain the last term of series.

So last term of geometric progression is 1/64.