# Hogatt's Theorem Proof

Not what you're looking for? Search our solutions OR ask your own Custom question.

Prove Hogatt's Theorem:

Any integer number can be written as a sum of terms of Fibonacci series.

See attached file for full problem description.

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:26 pm ad1c9bdddfhttps://brainmass.com/math/basic-algebra/hogatts-theorem-proof-24959

#### Solution Preview

Please see the attached file for the full solution.

Hogatt's theorem states that every positive integer can be expressed as a sum of distinct Fibonacci numbers.

Fibonacci numbers satisfy:

We prove ...

#### Solution Summary

The solution shows an elegant proof to Hogatt's Theorem.

$2.49