# Harmonious terms

Algebra Level 5

Consider a harmonic progression with distinct real terms. Of the infinite number of statements below regarding that progression, what is the maximum possible number of true statements?

1) The $1^\text{st}$ term of this sequence is equal to 1.
2) The $2^\text{nd}$ term of this sequence is equal to 2.
3) The $3^\text{rd}$ term of this sequence is equal to 3.
4) The $4^\text{th}$ term of this sequence is equal to 4.
$\qquad\qquad \qquad\qquad \vdots$

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