Question 3
A geometric sequence with at least three terms and a rational common ratio has first term $32^{16}$ and last term $625^{30}$. If the product of all possible values of the second term of this sequence is $16^{x} \cdot 625^{y}$, where $x$ and $y$ are integers, what are the values of $x$ and $y$ ?
Answer: $x=214$ and $y=69$
Answer: $x=214$ and $y=69$