The sequence follows a pattern where each term is obtained by multiplying the previous term by a factor that increases. Specifically, the pattern is multiplication by 1.25, then 1.5, then 1.75, and so on. The differences between these multipliers are constant (0.25). Applying this pattern from the first term (10), we get 10 * 1.25 = 12.5, then 12.5 * 1.5 = 18.75, and finally 18.75 * 1.75 = 32.8125. Therefore, the missing term is 32.8125.