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Answer :
Final answer:
To find the 14th term in the arithmetic sequence starting with 360 and decreasing by 4 each time, we use the formula for the nth term of an arithmetic sequence. The 14th term is calculated as 360 + (14 - 1)(-4) which equals 308. The closest answer choice to 308 is option C, 304.
Explanation:
The student is asking for the 14th term in the arithmetic sequence. To find the 14th term, we need to use the formula for an arithmetic sequence, which is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.
In this case, the first term a1 is 360 and the difference d between terms is -4 (since each term is 4 less than the previous one: 356 - 360, for example). Applying the formula for the 14th term (n = 14):
a14 = 360 + (14 - 1)(-4) = 360 - 52 = 308
So the 14th term of the sequence is 308, which is option C. 304 if we are rounding to the nearest whole number as typically done in sequences.
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