If the 20th term of a H.P. is 1 and the 30th term is -1/17, then find its largest term.

Explanation

To solve the problem step by step, we will first understand the properties of a Harmonic Progression (H.P.) and then use the given information to find the largest term.

### Step 1: Understanding the H.P.
A Harmonic Progression (H.P.) can be represented in terms of its reciprocal, which forms an Arithmetic Progression (A.P.). If we denote the first term of the H.P. as \( \frac{1}{a} \) and the common difference as \( d \), the \( n \)-th term of the H.P. can be expressed as:
\[ \text{H.P. term} = \frac{1}{a + (n-1)d} \]

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