Prove, by induction, $(1+a)^n \ge 1+na$, where $a \in \mathbb{R}^+$, for all positive integ

Question

Prove, by induction, $(1+a)^n \ge 1+na$, where $a \in \mathbb{R}^+$, for all positive integers of $n$.[5]

Accepted Answer

$(1+a)^n\ge1+na$ for all $n\in\mathbb Z^+$.

Mathematical Induction