Use the Binomial Theorem to Prove the Following

question 57

Short Answer

Use the binomial theorem to prove the following: $$\left( \begin{array} { c } 100 \\0\end{array} \right) + \left( \begin{array} { c } 100 \\2\end{array} \right) + \left( \begin{array} { c } 100 \\4\end{array} \right) + \left( \begin{array} { c } 100 \\6\end{array} \right) + \cdots + \left( \begin{array} { c } 100 \\98\end{array} \right) + \left( \begin{array} { c } 100 \\100\end{array} \right) = \left( \begin{array} { c } 100 \\1\end{array} \right) + \left( \begin{array} { c } 100 \\3\end{array} \right) + \left( \begin{array} { c } 100 \\5\end{array} \right) + \cdots + \left( \begin{array} { c } 100 \\97\end{array} \right) + \left( \begin{array} { c } 100 \\99\end{array} \right)$$

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Definitions:

CBT

Cognitive Behavioral Therapy is a psychological treatment method that addresses maladaptive behaviors through systematic processes challenging and altering unhelpful cognitive distortions and attitudes.

Client-Centered Therapy

A psychological treatment method that emphasizes understanding and caring rather than diagnosing and advising, focusing on the client's perspective.

Nondirective Approach

A therapeutic technique in which the therapist does not give advice or directions but helps the individual find their own solutions.

Frail Elderly

People over age 65, and often over age 85, who are physically infirm, very ill, or cognitively disabled.