Subjects algebra

Reverse Sequence Sum 1Ae2B5

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1. **Problem Statement:** You are asked to form a reverse sequence and then find the sum of the investment. 2. **Understanding the Problem:** A reverse sequence typically means reversing the order of terms in a sequence. To find the sum, we need to know the original sequence or the terms involved. 3. **Assumption:** Let's assume the investment amounts form an arithmetic sequence $a_1, a_2, \ldots, a_n$. 4. **Forming the Reverse Sequence:** The reverse sequence is $a_n, a_{n-1}, \ldots, a_1$. 5. **Sum of the Sequence:** The sum of an arithmetic sequence is given by the formula: $$S_n = \frac{n}{2} (a_1 + a_n)$$ 6. **Sum of the Reverse Sequence:** Since reversing the sequence does not change the sum, the sum remains: $$S_n = \frac{n}{2} (a_1 + a_n)$$ 7. **Conclusion:** The sum of the investment, whether in original or reverse order, is the same and calculated by the formula above. If you provide the specific terms or number of terms, I can calculate the exact sum for you.