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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:54) correct
26%
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wrong
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If f(n + 3) = f(n) and f(-1) = 6, f(0) = 5, f(1) = 4, then what is the value of f(8)?
A. 2
B. 3
C. 4
D. 5
E. 6
A. 2
B. 3
C. 4
D. 5
E. 6
04 Mar 2019, 08:29
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Rashed12
Given: f(n + 3) = f(n)
So, for example, f(1 + 3) = f(1)
In other words, f(4) = f(1)
Likewise, f(5) = f(2)
And f(6) = f(3)
And f(7) = f(4)
And f(8) = f(5)
etc
ASIDE: Notice that -1 + 3 + 3 + 3 = 8
So, f(-1) = f(2) = f(5) = f(8)
We're told that f(-1) = 6, so it must also be the case that f(2) = 6, f(5) = 6, and f(8) = 6
Answer: E
Cheers,
Brent
04 Mar 2019, 09:05
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Rashed12
f(-1) = 6, f(0) = 5, f(1) = 4 and f(n + 3) = f(n). By using all these information, we need to find f(8).
n=-1 => f(-1+3)=f(-1) => f(2)= f(-1) => f(2)=6
n=0 => f(0+3)=f(0) =>f(3)=5
Similarly,
When n=1, f(4)=4
n=2, f(5)=6
n=3, f(6)=5
n=4, f(7)=4
n=5, f(8)=6
Note: After f(5), you can notice the trend in answers. From f(2) the answers are 6, 5, 4, 6..... so by counting the rest based on this trend, you can find the answer for f(8).
Anyways, the answer is option E.
