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Advocard [28]
3 years ago
10

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

)?
Mathematics
2 answers:
umka2103 [35]3 years ago
5 0

Answer:

7.5

Step-by-step explanation:

liraira [26]3 years ago
4 0
F(n+1)=-1/2f(n)
f(n)=-2f(n+1)
given f(1)=120
-2f(1+1)=120
f(2)=-60
f(2)=-2f(2+1)=-60
f(3)=30
f(3)=-2f(3+1)=30
f(4)=-15
f(4)=-2f(4+1)=-15
f(5)=15/2
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Answer: The results do not represent the population because the sample does not represent professors from different areas.


Step-by-step explanation:

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Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

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The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
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Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

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