Use inductive reasoning to predict the next three numbers in the pattern. Home

3, 5, 8, 13, 21, 34, ...

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Predict the next three numbers in the pattern.

3, 5, 8, 13, 21, 34,

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144

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