Question

Use inductive reasoning to predict the next three numbers in the pattern.25, 5, 1, 1/5, 1/25Predict the next three numbers in the pattern.25, 5, 1, 1/5, 1/25, ___ , ___

Answer 1

The pattern is 25, 5, 1, 1/5, 1/25

25 divided by 5 equals 5

5 divided by 5 equals 1

Looks like to construct this pattern each value is divided by 5 to obtain the next number of the sequence:

Following this logic, the next three values of the pattern are:

`(1)/(25)/5=(1)/(125)`
`(1)/(125)/5=(1)/(625)`
`(1)/(625)/5=(1)/(3125)`