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Question: Find the general term of the following 42, 38, 34, ...
This sequence appears to be an arithmetic sequence, where each term decreases by 4 from the previous term. In a general arithmetic progression formula, the `n`th term of a sequence can be found using the formula: An = A1 + (n - 1) * d In this formula, An is the `n`th term you want to find, A1 is the first term of the sequence, n is the number of the term you want to find (such as first, second, third, and so on), and d is the common difference between the terms. In your sequence, A1 = 42 and d = -4 (since the each term decreases by 4 from the previous term). Substituting these into the formula yields: An = 42 + (n - 1) * -4 So, the general term of the sequence is An = 42 - 4*(n - 1).
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