You can
put this solution on YOUR website!In other words, graph the sequence with y substituted for
and x substituted for n. What, then, would the graphs look like?
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The arithmetic sequence would form a line. The n'th term is given by
. Since all the variables occur only to the first power, this could be rearranged to look like the equation of a line, substituting y for
and x for n.
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The n'th term of a geometric sequence is
. Any time the variable is in the exponent, you have an exponential equation. In this case the x-variable is n, which is in the exponent.
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That doesn't answer the last part of the question, but hopefully it helps.
