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10-10.

For each recursively defined sequence, list the first five terms and identify the sequence as arithmetic, geometric, or neither.  

  1. ,

  2. ,

    ,

    Look at the first five terms and imagine what a graph of the sequence would look like. Is it a line or a curve?

    Since the previous number () is multiplied by a constant (one-half), the sequence is geometric.

  3. ,

    ,