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Write the explicit and recursive rules to the following table. Hint: f(1) = ; f(n) = f(n-1) + d and f(n) = f(1) + d(n-1) *

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Final answer:

Without the specific table of values, the explicit and recursive rules for a sequence cannot be provided. However, for an arithmetic sequence, the general form of the rules relies on the first term and the common difference between terms.

Step-by-step explanation:

To write the explicit and recursive rules for a sequence given a table of values, we typically start by identifying the common difference, denoted as d, between consecutive terms in the sequence. This common difference helps us determine if the sequence is arithmetic. If it is an arithmetic sequence, the explicit formula can typically be written as f(n) = f(1) + d(n - 1), where f(1) is the first term in the sequence, and n is the term number. The recursive formula would be in the form of f(n) = f(n - 1) + d.

The question as provided seems to contain a mix-up and doesn't give us the information needed to write these rules. However, if we are given the value of the first term, and we can establish the common difference from the table, we would use the mentioned formulas to write the explicit and recursive rules. Without the actual table or the necessary numbers, we can't provide the specific rules.

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