Question Type 3: Working with geometric sequences algebraically Exercises

In a geometric sequence, the product of the third and seventh terms is $64$ and the common ratio is $2$.

(No specification provided)

Consider two geometric sequences $u_n$ and $v_n$. The sequence $u_n$ has a first term of $2$ and common ratio $r_1$. The sequence $v_n$ has a first term of $3$ and common ratio $r_2$.

In a geometric sequence, the first term is $8x$ and the common ratio is $\frac{1}{2}$.

In a geometric sequence, $u_2 + u_5 = 45$ and the common ratio is $2$.