The sequence of numbers 1, 1, 3, 5, 11, 21, 43, 85, 171, 341, … is like the original Fibonacci sequence except that it is defined recursively by f1 = 1, f = 1, and fn+1 = fn + 2 for n >=2. The latter equation can be put into matrix form as

fn+1 1 2 fn
fn = 1 0 fn-1

By using the techniques (and showing the steps) that we did in class for the original Fibonacci sequence, find an explicit formula for f, in the sequence defined above. With that formula, use your calculator to find f22 and f50.

y/x=18

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!