Answer :
Final answer:
The explicit function that describes the given sequence is f(n) = (-1)^n * (n^2 - 10).
Explanation:
The function that describes the given sequence is f(n) = (-1)^n * (n^2 - 10), which corresponds to option C.
To find the pattern in the sequence, we notice that the sign alternates between positive and negative, and the numbers increase based on the square of the term number, but with a constant subtraction of 10. For example, the first term, 25, can be obtained by using n = 1 in the function: (-1)^1 * (1^2 - 10) = 25.
Similarly, the second term, -35, can be obtained by using n = 2: (-1)^2 * (2^2 - 10) = -35. This pattern continues for the subsequent terms.
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