The graph represents an arithmetic sequence. Find the common difference, d, the fourth term, a4, and the fifth term, a5, of the arithmetic sequence. (2 points) d= a4= a5=
points are (3,1)( 2,5)(1,9)
To find the common difference (d), we need to find the difference between two consecutive terms. Let's calculate the difference between (2,5) and (3,1):
d = 5 - 1
d = 4
The common difference is 4.
To find the fourth term (a4), we can start with the first term and add the common difference three times since we want to find the fourth term:
a4 = 1 + 3d
a4 = 1 + 3(4)
a4 = 1 + 12
a4 = 13
The fourth term is 13.
To find the fifth term (a5), we can start with the first term and add the common difference four times since we want to find the fifth term:
a5 = 1 + 4d
a5 = 1 + 4(4)
a5 = 1 + 16
a5 = 17
The fifth term is 17.
Therefore, the common difference (d) is 4, the fourth term (a4) is 13, and the fifth term (a5) is 17 in the arithmetic sequence.