A theorem states that any positive number can be represented as the sum of two non-consecutive elements from this set of numbers. These numbers, which are the subject of Carmichael's Theorem, have a closed-form solution known as Binet's Formula. That formula includes the number "one minus the square root of five over two", which is known as phi or the golden ratio. They are defined as a recurrence relation where the nth value equals the sum of the "n-minus-1" and "n-minus-2" values. For 10 points, name these members of a sequence named after an Italian mathematician, the first five of which are 1, 1, 2, 3, and 5.
A theorem states that any positive number can be represented as the sum of two non-consecutive elements from this set of numbers. These numbers, which are the subject of Carmichael's Theorem, have a closed-form solution known as Binet's Formula. That formula includes the number "one minus the square root of five over two", which is known as phi or the golden ratio. They are defined as a recurrence relation where the nth value equals the sum of the "n-minus-1" and "n-minus-2" values. For 10 points, name these members of a sequence named after an Italian mathematician, the first five of which are 1, 1, 2, 3, and 5.
A theorem states that any positive number can be represented as the sum of two non-consecutive elements from this set of numbers.
Fibonacci numbers