In a G.P. it is given that `T_(p-1)+T_(p+1)=3T_(p).` Prove that its common ratio is an irrational number.

Explanation

To prove that the common ratio \( r \) of the given geometric progression (G.P.) is an irrational number, we start from the equation provided in the question:

\[ T_{p-1} + T_{p+1} = 3T_p \]

### Step 1: Express the terms in terms of the first term and common ratio
In a G.P., the \( n \)-th term can be expressed as:
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