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Home › Forums › Math › A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
Tagged: recursive formula, sequence
A. 12
B. 8
C. 10
D. 16
The correct answer is C : 10
The given formula states that the next term in the sequence is generated by subtracting two(2) from the first one. We know that the first term is (18), therefore we have-
f(1) = 18
f(2) = f(1) – 2 = 18 – 2 = 16
f(3) = f(2) – 2 = 16 – 2 = 14
f(4) = f(3) – 2 = 14 – 2 = 12
f(5) = f(4) – 2 = 12 – 2 = 10