A sequence is defined recursively using the equation formula f (n+1) = - 0.5 f (n). If the first term of the sequence is 120, what is f (5) ?

f (5) = 7.5

Step-by-step explanation:

given the recursive formula, then the next term in the sequence can be found from the previous term, that is

f (2) = - 0.5 * f (1) = - 0.5 * 120 = - 60

f (3) = - 0.5 * f (2) = - 0.5 * - 60 = 30

f (4) = - 0.5 * f (3) = - 0.5 * 30 = - 15

f (5) = - 0.5 * f (4) = - 0.5 * - 15 = 7.5