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) \(1 - \frac { 2 } { 5 } x + \frac { 3 } { 25 } x ^ { 2 } - \frac { 12 } { 125 } x ^ { 3 }\)

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