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Read the instructions below and solve:
f(x) = f(x – 2) – f(x – 1), x is a natural number
f(1) = 0, f(2) = 1
f(x) = f(x – 2) – f(x – 1), x is a natural number
f(1) = 0, f(2) = 1
Q.
The value of f[f(6)] is
- a)5
- b)– 1
- c)– 3
- d)– 2
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Read the instructions below and solve:f(x) = f(x – 2) – f(...
f(1) = 0, f(2) = 1,
f(3) = f(1) – f(2) = –1
f(4) = f(2) – f(3) = 2
f(5) = f(3) – f(4) = –3
f(6) = f(4) – f(5) = 5
f(7) = f(5) – f(6) = –8
f(8) = f(6) – f(7) = 13
f(3) = f(1) – f(2) = –1
f(4) = f(2) – f(3) = 2
f(5) = f(3) – f(4) = –3
f(6) = f(4) – f(5) = 5
f(7) = f(5) – f(6) = –8
f(8) = f(6) – f(7) = 13
Ans:-
f(f(6) = f(5) = –3.
Most Upvoted Answer
Read the instructions below and solve:f(x) = f(x – 2) – f(...
Given Information:
- f(x) = f(x - 2) - f(x - 1), where x is a natural number
- f(1) = 0, f(2) = 1
Solution:
Finding f(3):
f(3) = f(3-2) - f(3-1)
f(3) = f(1) - f(2)
f(3) = 0 - 1
f(3) = -1
Finding f(4):
f(4) = f(4-2) - f(4-1)
f(4) = f(2) - f(3)
f(4) = 1 - (-1)
f(4) = 2
Finding f(5):
f(5) = f(5-2) - f(5-1)
f(5) = f(3) - f(4)
f(5) = -1 - 2
f(5) = -3
Finding f(6):
f(6) = f(6-2) - f(6-1)
f(6) = f(4) - f(5)
f(6) = 2 - (-3)
f(6) = 5
Finding f[f(6)]:
f[f(6)] = f(5)
f[f(6)] = -3
Therefore, the value of f[f(6)] is 3 (option c).
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Read the instructions below and solve:f(x) = f(x – 2) – f(x – 1), x is a natural numberf(1) = 0, f(2) = 1Q.The value of f[f(6)] isa)5b)– 1c)– 3d)– 2Correct answer is option 'C'. Can you explain this answer?
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