Question

1. Generate the first 5 terms of this sequence:

f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.

2. Use the graph below to fill in the blank with the correct number.

f(1) = _______

3.

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)?

A. The house sold for $250,000.

B. The house stayed on the market for an average of 250 days before being sold.

C. This is the average number of days the house stayed on the market before being sold for $250,000.

Answer 1

1) f(1) = 0 ; f(2) = 1 ; f(n) = f(n-1) + f(n-2) , for n > 2

f(3) = f(3-1) + f(3-2) = f(2) + f(1) = 1 + 0 = 1
f(4) = f(4-1) + (4-2) = f(3) + f(2) = 1 + 1 = 2
f(5) = f(5-1) + (5-2) + f(4) + f(3) = 2 + 1 = 3

1st five terms of the sequence are 0, 1, 1, 2, 3

2) There is no graph. This question can't be answered.

3) C. This is the average number of days the house stayed on the market before being sold for $250,000.