High School

Write the explicit formula for the arithmetic sequence: -38.4, -58.1, -77.8, -97.5, ...

Answer :

Final answer:

The explicit formula for the arithmetic sequence is an = -38.4 + (n - 1)(-19.7).

Explanation:

The explicit formula for an arithmetic sequence is given by the formula:



aₙ = a₁ + (n - 1)d



Where aₙ is the term you want to find, a₁ is the first term of the sequence, n is the position of the term in the sequence, and d is the common difference between the terms.



In this case, the first term a₁ = -38.4 and the common difference d = -19.7. So the explicit formula for this arithmetic sequence is:



aₙ = -38.4 + (n - 1)(-19.7)

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