Plot the first five terms of the sequence on a 2-D graph.
an = 2n
Answer
The first five terms are 2, 4, 8, 16, and 32.
We can see that the terms are zooming off to ∞:
an = (-1)n
The first five terms are -1, 1, -1, 1, -1. On the graph, we can see how the terms are bouncing back and forth:
The first five terms are 5, 4.5, 4.333..., 4.25, 4.2.
The terms are getting closer to 4.
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