Use Mathematical Induction to Prove That the Statement Is True $$3 \cdot 5 + 4 \cdot 6 + 5 \cdot 7 + \ldots + ( n + 3 ) ( n + 5 ) = \frac { n \left( 2 n ^ { 2 } + 27 n + 115 \right) } { 6 }$$

question 185

Essay

Use mathematical induction to prove that the statement is true for every positive integer n.
- $$3 \cdot 5 + 4 \cdot 6 + 5 \cdot 7 + \ldots + ( n + 3 ) ( n + 5 ) = \frac { n \left( 2 n ^ { 2 } + 27 n + 115 \right) } { 6 }$$

---

Definitions:

Communicate And Collaborate

Communicate and Collaborate refers to the processes and tools that allow individuals to share information and work together effectively, often in a workspace or project environment.

Microsoft Office Professional 2013

Microsoft Office Professional 2013 is a version of Microsoft Office, a suite of productivity applications, which includes programs like Word, Excel, PowerPoint, and Access, designed for professional use.

Communication And Collaboration Tools

Technologies and platforms that facilitate interaction and shared work among individuals and groups, often used in business and education settings.

Supported Mobile Device

A mobile phone or tablet that is compatible with specific software, apps, or technologies as defined by the manufacturer or service provider.