Insert two number between 3 and 81 so that the resulting sequence is G.P.

Explanation

To solve the problem of inserting two numbers between 3 and 81 to form a geometric progression (G.P.), we can follow these steps:

### Step 1: Define the terms of the G.P.
Let the first term be \( a = 3 \). The two numbers we need to insert will be \( G_1 \) and \( G_2 \), and the last term will be \( G_3 = 81 \).

### Step 2: Express the terms in terms of the common ratio
In a G.P., each term can be expressed in terms of the first term and the common ratio \( r \):
- The first term: \( G_1 = a \cdot r = 3r \)
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