A sequence can be defined using a piecewise formula. An example of a piecewise-defined sequence is given

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A sequence can be defined using a piecewise formula. An example of a piecewise-defined sequence is given below.
| и,-1- when a,-1 is even. 1, when a, -i is odd. a, = 7, an п-15 За, - + ||

(a) Write the first 20 terms of the sequence.
(b) Write the first 10 terms of the sequences for which a1 = 4, a1 = 5, and a1 = 12 (using an as defined above). What conclusion can you make about the behavior of each sequence?

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