Write the Sum Using Summation Notation, Assuming the Suggested Pattern $$36 + 49 + 64 + 81 + \ldots + n ^ { 2 } + \ldots$$

question 61

Multiple Choice

Write the sum using summation notation, assuming the suggested pattern continues.
- $$36 + 49 + 64 + 81 + \ldots + n ^ { 2 } + \ldots$$

• A) \(\sum _ { n = 7 } ^ { \infty } n ^ { 2 }\)
• B) \(\sum _ { n = 6 } ^ { \infty } n - 1 ^ { 2 }\)
• C) \(\sum _ { n = 6 } ^ { \infty } n ^ { 2 }\)
• D) \(\sum _ { n = 6 } ^ { \infty } n + 1 ^ { 2 }\)

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Definitions:

Freons

A trademarked name for a group of chlorofluorocarbon (CFC) and hydrochlorofluorocarbon (HCFC) gases used primarily as refrigerants and aerosol propellants, now commonly linked to ozone depletion.

Propellants

Chemicals that are used to propel an object by generating gas under pressure; common in rockets and aerosol cans.

Aerosol Cans

Containers that use pressurized gas to dispense substances in a fine spray.

N-hexane

A straight-chain alkane with the formula C6H14, used as a non-polar solvent in the extraction of edible oils from seeds and vegetables.