Answer :
Final answer:
Using the formula for the arithmetic sequence (which is a + (n-1)d), the correct sequence for 50, 46, 42, 38, 34 would be 54 - 4n. None of the given options correctly represent this arithmetic sequence.
Explanation:
The given arithmetic sequence in this mathematical problem is: 50, 46, 42, 38, 34. An arithmetic sequence is a sequence of numbers such that the difference of any two successive members is a constant. Here, our constant difference is -4. Therefore, we need a function that, when we increase n, drops down by 4 each time.
The formula for an arithmetic sequence is a + (n-1)d, where 'a' is the first term and 'd' is the common difference. Here, a=50 and d=-4. Plugging these in our formula, we get, 50 - 4(n-1), which simplifies to 54 - 4n.
But there is no such equation in the given options. Seems like there might be a typographical error in the question. None of the given options correctly represent the formula for the arithmetic sequence that begins with 50, 46, 42, 38, 34.
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