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

question 156

Multiple Choice

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

• A) \(\frac { 63 } { 2 }\)
• B) 171
• C) \(\frac { 63 } { 4 }\)
• D) 63

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Definitions:

Standard Deviation

A mathematical metric that determines the extent of variability or scatter among data points.

Mean

A numeric value that signifies the mean of a dataset, obtained by summing all the numbers in the set and then dividing by the count of the numbers.

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