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

question 239

Multiple Choice

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

• A) 84
• B) 42
• C) 21
• D) 300

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Definitions:

Blood Pressure

The force exerted by circulating blood on the walls of blood vessels, crucial for maintaining bodily functions.

Mm Hg

Millimeters of mercury; a unit of pressure used in various applications, including the measurement of blood pressure.

Foramen Ovale

A fetal structure allowing blood flow between the right and left atria of the heart, which normally closes after birth.

Right Atrium

The right upper chamber of the heart that receives deoxygenated blood from the body and pumps it to the right ventricle.