Find the First Four Terms of the Binomial Series for the Given

question 125

Multiple Choice

Find the first four terms of the binomial series for the given function.
- $$\left( 1 + \frac { x } { 5 } \right) ^ { - 2 }$$

• A) \(1 - \frac { 2 } { 5 } x + \frac { 4 } { 25 } x ^ { 2 } - \frac { 6 } { 125 } x ^ { 3 }\)
• B) \(1 - \frac { 2 } { 5 } x + \frac { 3 } { 25 } x ^ { 2 } - \frac { 4 } { 125 } x ^ { 3 }\)
• C) \(1 - \frac { 2 } { 5 } x + \frac { 4 } { 25 } x ^ { 2 } - \frac { 8 } { 125 } x ^ { 3 }\)
• D) \(1 - \frac { 2 } { 5 } x + \frac { 3 } { 25 } x ^ { 2 } - \frac { 12 } { 125 } x ^ { 3 }\)

Differentiate between the effects of crustal heating, cooling, and other processes on land elevation.

Identify the factors that influence the thickness of the lithosphere.

Understand how erosion and deposition affect crustal thickness and surface elevation.

Acknowledge the contributions of tectonic settings to regional mountain formation.