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Answer :
Final answer:
To find the 81st term of an arithmetic sequence, use the formula 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 81st term is -1210.
Explanation:
To find the 81st term of an arithmetic sequence, we can use the formula:
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 -10 and the common difference, d, is -15. Plugging in these values, we have:
a81 = -10 + (81 - 1)(-15)
Simplifying this equation gives:
a81 = -10 + 80(-15)
a81 = -10 + (-1200)
a81 = -1210
Therefore, the 81st term of the arithmetic sequence is -1210.
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