Question

The table below shows the values of f(n) for different values of n.

n 1 2 3 4 5 6
f(n) 1 2 3 5 8 13


Which recursive function best represents the values shown in the table?

f(1) = 1, f(2) = 2, f(n) = f(n -1) f(n - 2); n > 2

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

f(1) = 1, f(2) = 2, f(n) = f(n -3) + f(n - 2); n > 2

f(1) = 1, f(2) = 2, f(n) = f(n -3) f(n - 2); n > 2

Answer 1

The second option should be right:
if you know that n > 2,
f(3), which is three, needs to be f(1) plus f(2).
The second option is the only way that represents that correctly. :)

Answer 2

@FMA

Answer 3

Thanks :D could you help me with another one?

Answer 4

Sure :)

Answer 5

The function f(x) = (1.007207)12x models the monthly interest that a bank offers to Dan after x years. Dan converts the function to have x isolated in the exponent. What is the approximate rate of growth?

1%

5%

9%

12%

Answer 6

Ok, so you need to isolate x first.
Do you know how to do that?

Answer 7

Divide the 12?

Answer 8

What else could you do first?