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.

$\qquad\qquad \qquad\qquad \vdots$