1. **Stating the problem:** We are given a number pattern: 73085, ( ), ( ), 73100, ( ). We need to find the missing numbers in the sequence. 2. **Understanding the pattern:** The known numbers are 73085 and 73100, with two missing numbers between them and one missing number after 73100. 3. **Calculate the difference between known numbers:** $$73100 - 73085 = 15$$ 4. **Determine the step size:** There are 3 intervals between 73085 and the last missing number after 73100 (since 2 missing numbers between 73085 and 73100, and 1 after 73100). But since 73100 is the 4th term, the difference of 15 is over 3 steps (from 1st to 4th term). 5. **Calculate the step increment:** $$\frac{15}{3} = 5$$ 6. **Find the missing numbers:** - 2nd term: $$73085 + 5 = 73090$$ - 3rd term: $$73090 + 5 = 73095$$ - 5th term: $$73100 + 5 = 73105$$ 7. **Final sequence:** 73085, 73090, 73095, 73100, 73105 This is an arithmetic sequence with common difference 5.