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jmc

algebra intermediate

Problem

If the first term of an arithmetic sequence equals the third minus the second, and the fourth term is , what is the first term?
Solution
Let be the common difference. We told that the first term is equal to the third term minus the second term, so the first term is equal to . Then the second term is equal to , the third term is equal to , and the fourth term is equal to . Hence, the first term is .
Final answer
2