Identify the type of sequence shown in the table below and select the appropriate response. n f(n) 1 540 2 500 3 460 4 420 5 380
arithmetic sequence; common difference is −40 arithmetic sequence; common difference is 40 geometric sequence; common ratio is −40 geometric sequence; common ratio is 40
An arithmetic sequence is a sequence in which each term is found by adding a constant, called the common difference, to each previous term.
In this sequence, we go from 540 to 500 to 460, etc. Each time we are subtracting 40. This is the same as adding -40; this makes the sequence arithmetic.
It is not B because 7x^2 means multiplying the equation by seven. It isn't C because that would move the graph DOWN seven units. And it's not D because when it is in parenthesis like that, it means that it is a horizontal shift, not vertical.
