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Consider the sequence with the initial value , followed by , , …

  1. Write the next three terms of this sequence, then find a rule for the sequence.

Note that each number is one-fourth of the preceding number.

4, 1, 0.25

  1. If you were to keep writing out more and more terms of the sequence, what would happen to the terms?

As you write more terms, do they get smaller or larger? Do they ever become negative?

They get smaller, but never reach zero or become negative.

  1. Sketch a graph of the sequence. What happens to the points as you go farther to the right

Which y-value do the numbers approach?