Answer :
Final answer:
To find the 81st term of the arithmetic sequence -10, -25, -40, ..., use the formula an = a1 + (n-1)d. Plug in the values to get the answer.
Explanation:
To find the 81st term of the arithmetic sequence -10, -25, -40, ..., we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d, where an represents the nth term, a1 is the first term, n is the term position, and d is the common difference.
In this case, a1 is -10, and since each term is decreasing by 15, the common difference d is -15.
Plugging in the values, we have: a81 = -10 + (81-1)(-15). Solving this equation will give us the 81st term of the sequence.
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