Use Mathematical Induction to Prove the Given Statement for All

Short Answer

Use mathematical induction to prove the given statement for all positive integers n.
- $$\left( 1 - \frac { 1 } { 3 } \right) \left( 1 - \frac { 1 } { 4 } \right) \left( 1 - \frac { 1 } { 5 } \right) \ldots \left( 1 - \frac { 1 } { n + 2 } \right) = \frac { 2 } { n + 2 }$$