Fundamentals of math

Question

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

         

4​, 7, 10, 13, 16, ...

Answer 1

Inductive reasoning is the process of observing data, recognizing patterns,

and drawing conclusions based on these observations.

Study the pattern.

Notice that each number is 3 more than the number before it.

If we continue with this same pattern, 16 + 3 is 19, 19 + 3 is 22, and 22 + 3 is 25.

Answer 2

19, 22, 25

just add 3 for each term

It's an arithmetic sequence with a common difference = 3

a0 = 4

a1 = 4+3

a2 = a1+ 3

an= a(n-1) + 3