Problem

Evaluate the summation below.
\[
2 \sum_{m=1}^{6}\left(2 m^{2}-9 m\right)
\]

Answer

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Answer

Final Answer: \(\boxed{-14}\)

Steps

Step 1 :Evaluate the summation below.

Step 2 :\[2 \sum_{m=1}^{6}\left(2 m^{2}-9 m\right)\]

Step 3 :The summation is a simple arithmetic operation where we sum the results of the expression \(2m^2 - 9m\) for each integer value of \(m\) from 1 to 6, and then multiply the result by 2.

Step 4 :The total is -14.

Step 5 :Final Answer: \(\boxed{-14}\)

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