A geometric sequence such that ...
We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
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The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).
