Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 6 } 4 i$$

question 52

Multiple Choice

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

• A) 21
• B) 300
• C) 84
• D) 42

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Definitions:

Perception

The process of interpreting sensory information from the environment to understand and interact with the world.

Fermented Juice

A beverage produced from the bacterial or yeast-involved fermentation of fruit, typically grapes for wine.

Sensation

The process by which sensory receptors and the nervous system receive and represent stimuli from the environment.

Stimulus Energies

The physical energy forms, such as light and sound, that activate sensory receptors and contribute to sensory processing.