Use the Summation Properties to Evaluate the Series - $$\sum _ { i = 1 } ^ { 3 } \left( i ^ { 2 } + i - 7 \right)$$

question 132

Multiple Choice

Use the summation properties to evaluate the series. The following rules may be needed: $$\sum _ { i = 1 } ^ { n } i = \frac { n ( n + 1 ) } { 2 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 2 } = \frac { n ( n + 1 ) ( 2 n + 1 ) } { 6 } ; \quad \sum _ { i = 1 } ^ { n } i ^ { 3 } = \frac { n ^ { 2 } ( n + 1 ) ^ { 2 } } { 4 }$$
- $$\sum _ { i = 1 } ^ { 3 } \left( i ^ { 2 } + i - 7 \right)$$

• A) 29
• B) 15
• C) 13
• D) \(- 1\)

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Definitions:

Randomized Trials

Experimental studies where participants are randomly assigned to different treatment groups to evaluate the effects of those treatments.

Cohort Study

A research approach involving a group of people observed over a period to determine how certain exposures affect outcomes.

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Pertaining to a scientific approach involving controlled trials and studies to test hypotheses, investigate cause-and-effect relationships, or demonstrate specific effects.

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Pertaining to research methods that involve watching and recording behaviors or outcomes in their natural setting without manipulation.