Question

Use the image to answer the question.
graph of line y=7x+13. Include and label the points: (0, 13), (1, 20), (2,27). Gridlines should only appear at whole numbers. Here all horizontal gridlines are okay but vertical gridlines should only appear at -4, -3, -2, -1, 0, 1, 2, 3, 4

Write the function of the graphed arithmetic sequence.

(1 point)

Answer 1

The line gives y = 7x + 13, so with integer inputs n the sequence is
a_n = 7n + 13, n = 0,1,2,...
(check: a_0 = 13, a_1 = 20, a_2 = 27).

(If you insist on indexing from n = 1, then a_n = 13 + (n−1)·7 = 7n + 6.)