The series is 12 − 1, 22 − 1, 32 − 1 and so on. The next number is 92 − 1 = 80.
Alternative solution: The differences between the numbers across the series are 3, 5, 7, 9, 11, 13, 15 and 17. The next number is 63 + 17 = 80.
Alternative solution: The differences between the numbers across the series are 3, 5, 7, 9, 11, 13, 15 and 17. The next number is 63 + 17 = 80.

