The sequence $\{b_{n}\}$ is defined by $$ b_{n} = \ln(3^{n}), \quad n = 1, 2, 3, \dots. $$ Prove t

Question

The sequence $\{b_{n}\}$ is defined by $$ b_{n} = \ln(3^{n}), \quad n = 1, 2, 3, \dots. $$ Prove that $\{b_{n}\}$ is an arithmetic sequence, stating clearly its first term and common difference.

Accepted Answer

Arithmetic sequence: first term $\ln3$, common difference $\ln3$.

AP involving ln

AP involving ln

Solution:

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