Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 6 } \left( - 3 i ^ { 2 } - i ^ { 3 } \right)$$

question 312

Multiple Choice

Use the summation properties to evaluate the series. The following rules may be needed: $$\begin{array} { l l l } \mathrm { n } & \mathrm { n } & \mathrm { n } \\\sum \mathrm { i } = \frac { \mathrm { n } ( \mathrm { n } + 1 ) } { 2 } ; & \sum \mathrm { i } ^ { 2 } = \frac { \mathrm { n } ( \mathrm { n } + 1 ) ( 2 \mathrm { n } + 1 ) } { 6 } ; & \sum \mathrm { i } ^ { 3 } = \frac { \mathrm { n } ^ { 2 } ( \mathrm { n } + 1 ) ^ { 2 } } { 4 } \\\mathrm { i } = 1 & \mathrm { i } = 1 & \mathrm { i } = 1\end{array}$$
- $$\sum _ { i = 1 } ^ { 6 } \left( - 3 i ^ { 2 } - i ^ { 3 } \right)$$

• A) \(- 714\)
• B) 168
• C) \(- 2856\)
• D) \(- 8568\)

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A social group that serves as a point of reference in making evaluations and decisions.

Method Of Frequency

The method of frequency involves analyzing data to determine how often different values occur, thereby identifying patterns or trends within the data set.

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