Question

An arithmetic sequence is shown in the graph.

What is the equation for the nth term of the arithmetic sequence?

an = –3 + 5(n – 1)
an = –3 + 5(n + 1)
an = –3 – 5n
an = –3 + 5n

Answer 1

an= -3+5(n-1)

Step-by-step explanation:

Try writing out the terms and finding a pattern. In this case, inserting any plotted x-value into the sequence -3+5(n-1) produces the correct y-value.

Answer 2

A.) an = -3 + 5(n - 1)

Step-by-step explanation:

Given: (1, -3), (2, 2), (3, 7), (4, 12), (5, 17)

Arithmetic Series: a + (n - 1)d

['a' is first term, 'n' determines term position, 'd' is common difference]

Determine the following:

• a = -3

• d = second term - first term = 2 - (-3) = 5

Putting into equation:

• -3 + (n - 1)5

• -3 + 5(n - 1)