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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, ___ , ___

Respuesta :

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:

[tex]\frac{1}{25}\div5=\frac{1}{125}[/tex][tex]\frac{1}{125}\div5=\frac{1}{625}[/tex][tex]\frac{1}{625}\div5=\frac{1}{3125}[/tex]

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