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

1.	A sequence a1, a2, a3, ... is defined by letting a1=3 and ak=7ak-1 for all natural numbers k≥2. Show that an=3·7n-1 for all n∈N. [NCERT EXEMPLAR]
Answer» $A sequence a_{1}, a_{2}, a_{3}, . . . is defined by letting a_{1} = 3 and a_{k} = 7 a_{k - 1} for all natural numbers k \geq 2 . Show that a_{n} = 3 \cdot 7^{n - 1} for all n \in N .$ [NCERT EXEMPLAR]

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