Find the 3rd Term in the Binomial Expansion $$\left( x + \frac { y } { 2 } \right) ^ { 8 }$$

question 7

Multiple Choice

Find the 3rd term in the binomial expansion. $$\left( x + \frac { y } { 2 } \right) ^ { 8 }$$

• A) \(\quad 28 x ^ { 6 } y ^ { 2 }\)
• B) \(\quad 4 x ^ { 6 } y ^ { 2 }\)
• C) \(\quad x ^ { 6 } y ^ { 2 }\)
• D) \(7 x ^ { 6 } y ^ { 2 }\)
• E) \(\quad 7 x ^ { 2 } y ^ { 6 }\)

---

Definitions:

Menu Items

Options or commands within a menu in a graphical user interface, allowing users to select actions or settings.

Java Statements

In Java, statements are the building blocks of a program, including expressions, declarations, and control flow statements, that instruct the program to perform specific actions.

Model-View-Controller

An architectural pattern used in software engineering to separate application logic into three interconnected components: the model, the view, and the controller.

GUI

Graphical User Interface, a visual interface allowing users to interact with electronic devices through graphical icons and visual indicators.