Find the Sum of the Infinite Geometric Sequence $$\sum _ { n = 1 } ^ { \infty } 8 - \left( \frac { 1 } { 6 } \right) ^ { n - 1 }$$

question 31

Multiple Choice

Find the sum of the infinite geometric sequence.? $$\sum _ { n = 1 } ^ { \infty } 8 - \left( \frac { 1 } { 6 } \right) ^ { n - 1 }$$

• A)?s = \(\frac { 5 } { 34 }\)
• B)?s = \(\frac { 34 } { 5 }\)
• C)?s = \(\frac { 42 } { 5 }\)
• D)?s = \(\frac { 46 } { 5 }\)
• E)?s = \(\frac { 1 } { 5 }\)

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Definitions:

Necessities

Basic needs essential for maintaining life, such as food, water, shelter, and clothing, which take precedence over other types of spending.

Elasticity Coefficient

A measure used to show the responsiveness of the quantity demanded or supplied to a change in one of its determinants, like price or income.

Supply

A schedule or curve that shows the various amounts of a product that producers are willing and able to make available for sale at each of a series of possible prices during a specified period of time.

Elastic

A characteristic of a good or service indicating that its quantity demanded or supplied changes significantly when there is a change in price.