Continue the sequence 3, 7, 13, 21, 31. The difference between consecutive numbers increases by 2 each time. What is the next number?
Show hints
- List the differences 4, 6, 8, and 10.
- After 10 comes a difference of 12; add it to 31.
Show the answer and solution
Answer: 43
The differences are 4, 6, 8, and 10. The next difference is 12, so the next number is 31 + 12 = 43.