A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)?
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Answer: 7.5
Step-by-step explanation:
f(1) = 120
f(1+1) = -0.5f(1) = -0.5*120 = -60
f(2+1) = -0.5f(2) = -0.5*-60 = 30
f(3+1) = -0.5f(3) = -0.5*30 = -15
f(4+1) = -0.5f(4) = -0.5*-15 = 7.5
So f(5)= 7.5
Step-by-step explanation:
f(1) = 120
f(1+1) = -0.5f(1) = -0.5*120 = -60
f(2+1) = -0.5f(2) = -0.5*-60 = 30
f(3+1) = -0.5f(3) = -0.5*30 = -15
f(4+1) = -0.5f(4) = -0.5*-15 = 7.5
So f(5)= 7.5
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