[b]1. Can somebody please explain to me how you add Fibonacci numbers using the indices?
[b]2. For example: f(2n+3) + f(2n)
I am actually trying to subtract f(2n) - f(2n+1) - 1
I really have difficulty understanding Fibonacci numbers.
ok I am using the Euclidean Algorithm to find the gcd of 111 and 169 which I know is 1 but the EA says otherwise
169 = 1(111) + 58
111 = 1(58) + 53
58 = 1(53) + 5
53 = 10(5) + 3
5 = 1(5) + 0
I can't understand why I am getting 3 when 3 does not even divide 169, neither does it divide...
Ok I knew the answer couldn't be negative and I think I missed what the problem was saying by focusing on the general way of solving these types of equations. Just to be clear, are you saying that because we are given the amount of yens both in US and Cand. that all i have to solve is 122 x +...
ok I think I see what I missed...there are two equations x + y = 15286, and 122 x + 112y = ? I don't know exactly what it should be... I know I am missing something but I can't quite figure it out
[b]1. A Japanese businessman returning from a trip in North America exchanges his US and Canadian dollars for yen. If he receives 15286 yen, and received 122 yen for each US and 112 yen foer eac Canadian dollar, how many of each type of currency did he exchange?
[b]2. I know in solving this...
want to figure out whether a permutation is odd or even...my textbook gave the example (123) = (12)(13), (123) = (13)(23)(12)(13), (123)= (23)(13)(12)(13)(12)(23) they called it the factorization as a product of transformations.
Now I see that (123) is even because for each factorization there...
[b]1. This is not a question it's an example.
[b]2.The permutation (123)= (13)(12)= (13)(23)(12(13)= (23)(13)(12)(13)(12)(23) is even.
[b]3. I got the frist one because it is the product of tranposition...I just don't get the rest. I know that it is even depending on the number...