Math miscellaneousHard

Question

If A = and I = then which one of the following holds for all n ≥ 1, by the principle of mathematical indunction

Options

A.An = nA - (n - 1)I
B.An = 2n-1A - (n - 1)I
C.An = nA + (n - 1)I
D.An = 2n-1A + (n - 1)I

Solution

By the principle of mathematical induction (1) is true.

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