Ink on Sequences #1

Algebra Level 4

A triangle with side lengths of \(a\), \(b\), and \(c\) is a right triangle, where \(a<b<c\).

\[\begin{align} &\boxed{1}.\quad a\text{, }b\text{, and }c\text{ form an arithmetic sequence.} \\ &\boxed{2}.\quad a\text{, }b\text{, and }c\text{ form a geometric sequence.} \\ &\boxed{4}.\quad a\text{, }b\text{, and }c\text{ form a harmonic sequence.} \\ &\boxed{8}.\quad a\text{, }b\text{, and }c\text{ form a Fibonacci sequence.} \\ \end{align}\]

Add up all the numbers of the statements that are possible to be true.


Notation: Fibonacci sequence

If you think there is no statement that is true, submit 0 as your answer.

This problem is a part of <Inconsequences!> series.

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