Answer:
31, 43, 57
Step-by-step explanation:
Work out the differences between the terms of the sequence:
[tex]1 \underset{+2}{\longrightarrow} 3 \underset{+4}{\longrightarrow} 7 \underset{+6}{\longrightarrow} 13 \underset{+8}{\longrightarrow} 21[/tex]
The differences between terms increase by 2 each time.
Therefore, from inspection of the pattern, the next three terms in the sequence are:
- 21 + 10 = 31
- 31 + 12 = 43
- 43 + 14 = 57
