TABLE OF CONTENTS

Plot the first five terms of the sequence on a 2-D graph.

a_{n} = 2^{n}

Answer

The first five terms are 2, 4, 8, 16, and 32.

We can see that the terms are zooming off to ∞:

a_{n} = (-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.