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Using the sequences in the previous problem, suppose we define a new sequence, , defined as , a compostion of two sequences. Do you think the new sequence will be arithmetic? Geometric? Neither? Explain. Make a table of values. Does the table support your hypothesis, or do you want to change your guess? Explain.

Is this arithmetic, geometric, or quadratic?

Copy and complete the table.

Is there a constant difference or a constant multiplier?