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Question

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1?

9.6, –4.8, 2.4, –1.2, 0.6, ...

Answer 1

A recursive formula always has two parts:
        1.  the starting value for f(1)
        2.  the recursion equation for f(n) as a function of f(n-1)   [ the term before it ]

The sequence in the problem can be generated by the formula:
              f(n) =  (-1/2)*f(n-1)     for n > 1
              f(1) = 9.6                    for n=1