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enyata [817]
3 years ago
15

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

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
5 0

Answer:

Third choice

Step-by-step explanation:

i just did it on edgen and got it right

PolarNik [594]3 years ago
3 0

Answer: 7.5

Step-by-step explanation:

The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)

First term of the sequence is f(1) = 120

Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60

Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30

Fourth term of the sequence is f(4) = f(3+1) = -0.5 f(3) = -0.5 (30) = -15

Fifth term of the sequence is f(5) = f(4+1) = -0.5 f(4) = -0.5 (-15) = <em>7.5</em>

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Answer:

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Step-by-step explanation:

  • 6.5 · 1/9 = 6 5/10 · 1/9
  • 6 5/10 · 1/9 = 6 1/2 · 1/9
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Therefore, 6.5 · 1/9 = 13/18.

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