Question

15.2, 3,6,11,18, ...
Describe the pattern. Then write the next three numbers

Answer 1

27, 38, and 51

Explanation:

3, 6, 11, 18, ...

We increase the first number by 3. Then 5. Then 7.

The pattern is that the difference increases by 2.

That means this is a quadratic sequence.

y = x² + 2, where x = 1, 2, 3, etc.

The next three numbers are 27, 38, and 51.