Question

Gregory has agreed to donate $250 to Spring Valley High School for its library. In addition, he will donate $5 for every book a student at Spring Valley High School reads during

the summer. The sequence below represents the possible amounts that Gregory will be donating for the summer.
250, 255, 260, 265, 270, 275,
Which representations model this problem situation? Select all that apply
f(x)=245+5x
f(x)=255-5x
an=250+5n
an=250+5(n-1)

Answer 1

f(x) = 245 + 5x, where x is the number of books read and f(x) is the total donation amount

an = 250 + 5(n-1), where n is the number of books read and an is the total donation amount

Explanation:

he recursive formula for an arithmetic sequence is a formula that relates each term in the sequence to its previous term. The formula you provided, an = 7-3(n-1), is a recursive formula because each term (an) depends on the previous term (an-1). To find a specific term in the sequence, you would need to use this formula repeatedly, starting with the first term.

On the other hand, an explicit formula for an arithmetic sequence is a formula that allows you to calculate any term in the sequence directly, without having to know any of the previous terms. An example of an explicit formula for an arithmetic sequence is an = a1 + (n-1)d, where a1 is the first term and d is the common difference.