Determine what is wrong with the given induction arguments. Let a be a nonzero real num...

Determine what is wrong with the given induction arguments.

Let a be a nonzero real number. We will prove that, for any nonnegative integer

Since by definition, the statement is true for n = 0.

Assume that, for some integer Then

The strong principle of induction therefore implies that for every nonnegative integer n.