Question Type 2: Finding the common ratio given two terms Exercises

The 3rd term of a geometric sequence is $7$ and the 9th term is $448$. Determine the common ratio $r$.

The 5th term of a geometric sequence is $16$ and the 8th term is $128$. Determine the common ratio $r$.

In a geometric sequence, the 3rd term is $8$ and the 6th term is $27$. Find the common ratio $r$.

A geometric progression has 5th term $32$ and 8th term $256$. Determine the common ratio $r$.

In a geometric progression, the 1st term is $2$ and the 5th term is $162$. Find the positive common ratio $r$.

The 2nd term of a geometric progression is $-6$ and the 5th term is $48$. Determine the common ratio $r$.

In a geometric progression, the 4th term is $3$ and the 7th term is $24$. Find the common ratio $r$.

A geometric sequence with positive terms has 2nd term $4$ and 6th term $64$. Determine the common ratio $r$.

In a geometric sequence, the 3rd term is $12$ and the 6th term is $96$. Find the common ratio $r$.

Given a geometric sequence with first term $4$ and fourth term $32$, find the common ratio $r$.

In a geometric sequence, the 2nd term is $9$ and the 5th term is $243$. Find the common ratio $r$.

A geometric sequence has second term $5$ and fifth term $40$. Determine the common ratio $r$.

In a geometric sequence with a positive common ratio, the first term is $3$ and the seventh term is $192$. Find the common ratio $r$.

In a geometric progression, the fourth term is $5$ and the ninth term is $1215$. Find the common ratio $r$.