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Use the principle of mathematical induct...

Use the principle of mathematical induction :
A sequence `a_1, a_2, a_3,……` is defined by letting `a_1 = 3` and `a_k = 7a_(k-1)`, for all natural numbers k > 2 . Show that `a_n = 3.7^(n-1)` , for all natural numbers .

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