A sequence a1,a2,a3,....... is defined by letting a1=3 and ak=7 ak−1 – InterviewSolution

1.	A sequence a1,a2,a3,....... is defined by letting a1=3 and ak=7 ak−1 for all natural numbers k≥2. Show that an=3.7n−1 for all nϵN.
Answer» A sequence $a_{1}, a_{2}, a_{3}, . . . . . . .$ is defined by letting $a_{1} = 3$ and $a_{k} = 7$ $a_{k - 1}$ for all natural numbers $k \geq 2$ . Show that $a_{n} = {3.7}^{n - 1}$ for all $n ϵ N$ .

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