By using a recurrence formula, the value of the recurrence formula for n = 4 is equal to - 1280.
In this exercise we shall make use of recursive formulas to determine the value of an element of a sequence, recursive formulas are expressions in which a current element of a series is function of at least one previous element of the sequence.
If we know that f(1) = 160 and f(n + 1) = - 2 · f(n), then the value of f(4) is:
n = 1
f(1) = 160
n = 2
f(2) = - 2 · f(1)
f(2) = - 2 · 160
f(2) = - 320
n = 3
f(3) = - 2 · f(2)
f(3) = - 2 · (- 320)
f(3) = 640
n = 4
f(4) = - 2 · f(3)
f(4) = - 2 · 640
f(4) = - 1280
By using a recurrence formula, the value of the recurrence formula for n = 4 is equal to - 1280.
To learn more on recurrence formulas: https://brainly.com/question/13391306
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