Answer :
Final answer:
To find the 124th term of the arithmetic sequence 199, 196, 193,..., use the formula an = a1 + (n-1)d. Plugging in the values, we get a124 = -170.
Explanation:
To find the 124th term of an arithmetic sequence, we can use the formula:
an = a1 + (n-1)d
where an is the n-th term, a1 is the first term, n is the position of the term, and d is the common difference.
In this case, the first term (a1) is 199 and the common difference (d) is -3 (since each term is decreasing by 3).
Plugging in the values, we get:
a124 = 199 + (124-1)(-3)
a124 = 199 + 123(-3)
a124 = 199 - 369
a124 = -170
Therefore, the 124th term of the arithmetic sequence is -170.
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