A sequence is defined by the recursive formula f(n+1)=f(n)-2. If f(1)=18,what is f(5)?

Mathematics

2 answers:

vladimir2022 [97]2 years ago

7 0

The answer is for this problem is 10

Hatshy [7]2 years ago

4 0

To find f(5), you need to know f(4), to know f(4), you need to find f(3), to know f(3), you need to know f(2)
<span>Use the recursive formula f(n+1)=f(n)-2,
</span>f(2)=f(1)-2, and f(1)=18 is given, so f(2)=18-2=16
f(3)=f(2)-2=16-2=14
f(4)=12
f(5)=10

another way to do it is using the formula: the nth term=the first term +d(n-1)
d represents the difference, which is -2 in this case
so f(5)=f(1)-2(5-1)
f(5)=18-8=10

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PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

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