What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?

 The required fourth term of the geometric sequence is

Step-by-step explanation:  We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

We know that

the n-th term of a geometric sequence with first term a1 and common ratio r given by

Therefore, the fourth term of the given geometric sequence will be

Thus, the required fourth term of the geometric sequence is