Question

Identify the type of sequence shown in the table below and select the appropriate response. (5 points) n f(n) 1 540 2 500 3 460 4 420 5 380

Answer 1

Answer:-40

Step-by-step explanation: Because 40 being subtracted from each number.

Answer 2

`\bf \begin{array}{ccll} n&f(n)\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&540\\ 2&\stackrel{540-40}{500}\\\\ 3&\stackrel{500-40}{460}\\\\ 4&\stackrel{460-40}{420}\\\\ 5&\stackrel{420-40}{380} \end{array}`

notice, the next term is obtained by subtracting 40 from the "current" one, meaning, is an arithmetic sequence, with a "common difference" of -40.