If I'm not wrong, it should be "Assume that p(n) is true, let's see if p(n)⇒p(n+1). "Assume true for some n+1
So you must start assuming that p(n) is right and you will be in need to use the p(n) formula. If it implies p(n+1), then p(n+1) is right, then p(n) is right for all n >1.
In other words, using the formula (1+x)^n > 1+nx, you must reach .
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