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 Sequence
Let the two numbers to be inserted be \( A \) and \( B \). The resulting sequence will be \( 3, A, B, 81 \).

### Step 2: Set Up the Common Ratio
Since the sequence is in G.P., the ratio between consecutive terms must be constant. Therefore, we can set up the following equations based on the common ratio \( r \):
1. \( \frac{A}{3} = r \)
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