Find the next number in the pattern 1, 4, 10, 19, 31, ___?

Step-by-step solution

1. Calculate the successive differences: $4-1=3$, $10-4=6$, $19-10=9$, $31-19=12$.
2. Notice the differences rise by 3 each time.
3. The next difference should be $12+3=15$.
4. Add it to the last term: $31+15=46$.
5. Therefore the next number is 46.

Concept tested: Increasing difference pattern

Published 4 October 2026 · How this solution was prepared and checked