To find the common difference, we first need to determine the difference between consecutive terms.
From (3, 1) to (2, 5):
5 - 1 = 4
From (2, 5) to (1, 9):
9 - 5 = 4
Since the difference between consecutive terms is the same, the common difference, d, is 4.
Now, we can find the fourth term, a4, by adding the common difference to the third term:
a4 = 9 + 4 = 13
And we can find the fifth term, a5, by adding the common difference to the fourth term:
a5 = 13 + 4 = 17
So, in the arithmetic sequence represented by the graph, the common difference is 4, the fourth term, a4, is 13, and the fifth term, a5, is 17.
The graph represents an arithmetic sequence. Find the common difference, d, the fourth term, a4, the fifth term, a5, of the arithmetic sequence.
The graph shows points as, (3, 1), (2, 5) and (1,9).
5 answers
Incorrect
Let's find the common difference using the given points (3, 1), (2, 5), and (1, 9) on the graph.
To find the common difference (d), we can use the formula:
d = (y2 - y1) / (x2 - x1)
Using the points (3, 1) and (2, 5):
d = (5 - 1) / (2 - 3) = 4 / -1 = -4
Therefore, the common difference (d) is -4.
Now, to find the fourth term (a4), we need to find the value of the third term (a3) first.
Using the point (2, 5) and the common difference of -4:
a3 = 5 + (-4) = 1
To find a4, we add the common difference to a3:
a4 = 1 + (-4) = -3
To find the fifth term (a5), we add the common difference to a4:
a5 = -3 + (-4) = -7
Therefore, in the arithmetic sequence represented by the graph, the common difference is -4, the fourth term (a4) is -3, and the fifth term (a5) is -7.
To find the common difference (d), we can use the formula:
d = (y2 - y1) / (x2 - x1)
Using the points (3, 1) and (2, 5):
d = (5 - 1) / (2 - 3) = 4 / -1 = -4
Therefore, the common difference (d) is -4.
Now, to find the fourth term (a4), we need to find the value of the third term (a3) first.
Using the point (2, 5) and the common difference of -4:
a3 = 5 + (-4) = 1
To find a4, we add the common difference to a3:
a4 = 1 + (-4) = -3
To find the fifth term (a5), we add the common difference to a4:
a5 = -3 + (-4) = -7
Therefore, in the arithmetic sequence represented by the graph, the common difference is -4, the fourth term (a4) is -3, and the fifth term (a5) is -7.
Correct
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