Statement -1: If a,b,c are distinct real numbers in H.P, then `a^(n)+c^(n)gt2b^(n)" for all "ninN`.
Statement -2: `AMgtGMgtHM`

Explanation

To solve the problem, we need to analyze the two statements given:

**Statement 1:** If \( a, b, c \) are distinct real numbers in Harmonic Progression (H.P), then \( a^n + c^n > 2b^n \) for all \( n \in \mathbb{N} \).

**Statement 2:** \( AM > GM > HM \) (Arithmetic Mean is greater than Geometric Mean, which is greater than Harmonic Mean).

### Step-by-Step Solution:

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