Express as a rational number
Chapter 9, Problem 103(choose chapter or problem)
Express \(\sum_{k=1}^{\infty} \frac{6^{k}}{\left(3^{k+1}-2^{k+1}\right)\left(3^{k}-2^{k}\right)}\) as a rational number.
Text Transcription:
Sum_k=1^infinity 6^k/(3^k+2 - 2^k+1)(3^k-2^k)
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