The sequence 8, 15, 24, 35, 48, 63 follows the pattern n² - 1 where n = 3, 4, 5, 6, 7, 8. The differences are: 15 - 8 = 7, 24 - 15 = 9, 35 - 24 = 11, 48 - 35 = 13, 63 - 48 = 15. The differences increase by 2 each time (odd numbers). The next difference should be 17, so 63 + 17 = 80. This also fits the n² - 1 pattern with n = 9: 9² - 1 = 81 - 1 = 80.