Question:medium
If $\dfrac{4^{n+1} + 16^{n+1}}{4^n + 16^n}$ is the Geometric Mean between $4$ and $16$, then the value of $n$ is:
If $\dfrac{4^{n+1} + 16^{n+1}}{4^n + 16^n}$ is the Geometric Mean between $4$ and $16$, then the value of $n$ is:
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Convert all terms to same base to simplify exponential equations easily.
Updated On: Apr 24, 2026
- $\frac{1}{2}$
- $\frac{3}{2}$
- $10$
- $-\frac{1}{2}$
- $8$
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The Correct Option is D
Solution and Explanation
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