Find the first term and the common ratio
third term =6 and seventh term= 96

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is:

We are given: third term = 6 i,e

Seventh term = 96

Dividing eq(2) and eq(3)

So, Common Ratio r = 2

Finding First term using eq(1)

So, First term a₁ = 3/2 and common ratio r = 2

both equations and proportions are better.