# 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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