Piecewise Defined Functions

Question 1

Explain how to write the explicit rule for the arithmetic sequence from the given information.

Revolt · Accepted Answer

The rule shows that each term is 8 more than the previous term, so the common difference is 8 The explicit formula of an arithmetic sequence is the initial term plus (n 1)d. The explicit rule for this function can be found by substituting 42 for a1 and 8 for d. The explicit rule for the sequence is 42 (n 1)8.

Question 2

Which did you include in your response?

Revolt · Accepted Answer

The rule shows that each term is 8 more than the previous term, so the common difference is 8; The explicit formula of an arithmetic sequence is the initial term plus (n – 1)d.; The explicit rule for this function can be found by substituting 42 for a1 and 8 for d.; The explicit rule for the sequence is 42 + (n – 1)8.

Piecewise Defined Functions Answers

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