Mathematics
Garth733
12

Find an explicit formula for the nth term of the 2/9,0,2/9,.....

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(1) Answers
bobster195

According to the given sample, a_n (the nth term of the sequence) is (2/9) for odd n, beginning with n=1 and continuing:  1, 3, 5, 7,  and the next term is always 0.  How would you characterize 1, 3, 5, 7, ... ?  These are all odd numbers.  How would you characterize 2, 4, 6, 8, ... ?  These are all even #s. One way to summarize this behavior is to write the formula a_n = (2/9) for odd n and 0 for even n. There are other ways in which you could write such a formula.

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