Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence

A geometric sequence has a constant ratio 'r' and is defined by

Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

Thus, the given sequence is a geometric sequence.
As the first element of the sequence is

Therefore, the nth term is calculated as


Put n = 5 to find the next term






now, Put n = 6 to find the 6th term






Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is: