+400 In a geometric sequence, the 23rd term is 16 and the 24th term is 1/4. What is the 30th term?
+399 The common difference between terms is \(\frac{\frac{1}{4}}{16}=\frac{1}{64}\).
The 30th term is 30-24=6 terms away, meaning 6 common differences from 24.
So, the 30th term is \(\frac{1}{4}*{(\frac{1}{64})}^6\), \(\frac{1}{{2}^{2}}*\frac{1}{{2}^{36}}=\frac{1}{{2}^{38}}\), is our final answer.
