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Answer :
The 81st term of the arithmetic sequence -10, -25, -40 is -1210. We found this by using the arithmetic sequence formula, identifying the first term and the common difference, and substitifying the appropriate values.
To find the 81st term of the arithmetic sequence -10, -25, -40, we will use the arithmetic sequence formula.
The formula for an arithmetic sequence is a_n = a_1 + (n - 1) * d where a_n is the nth term, a_1 is the first term, d is the common difference, and n is the term number. In this sequence, a_1 = -10 (first term) and d = -15 (difference between two successive terms). We are looking for n = 81 (term number).
By substituting the values into the formula, the 81st term = -10 + (81 - 1) * (-15) = -10 - 1200 = -1210. So, the 81st term of the sequence is -1210.
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