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=
point 1:1,9
point 2:2,5
point 3:3,1
To find the common difference (d), we can calculate the differences between consecutive terms:
For point 1 and point 2:
d = (5 - 9) / (2 - 1) = -4
For point 2 and point 3:
d = (1 - 5) / (3 - 2) = -4
From the calculations above, the common difference (d) 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 the fourth term):
a4 = 9 + (-4) * 3 = 9 - 12 = -3
To find the fifth term (a5), we can start with the first term and add the common difference four times (since we want the fifth term):
a5 = 9 + (-4) * 4 = 9 - 16 = -7
Therefore:
d = -4
a4 = -3
a5 = -7