Answer:
The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
From inspection of the graph, the first four terms of the sequence are:
- (1, -4)
- (2, 8)
- (3, -16)
- (4, 32)
Each x-value increases by 1 for each consecutive term.
Each y-value is the previous y-value multiplied by -2.
Therefore, it is a geometric sequence with a common ratio of -2.
Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:
- x = 4 + 1 = 5
- y = 32 × -2 = -64
So, the next term of the sequence is represented by the point (5, –64)
