Answer:
The next three terms are 4, 4/5, 4/25
Explanation:
Given:
What are the next three terms in the sequence, 500, 100, 20?
Explain how we know:
⇒we notice the numbers get a lot smaller 500→100→20 so we probably have to divide by something
⇒ we notice 500/5 = 100, 100/5 = 20 so we can follow this pattern to find the next three terms
⇒ divide by 5 to find the next term
500
500/5 = 100
100/5 = 20
20/5 = 4
4/5
(4/5)/5 = (4/5)/(5/1)= (4/5)·(1/5) = (4·1)/(5·5) = 4/25
Conclusion:
The sequence is 500, 100, 20, 4, 4/5, 4/25