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

question 105

Multiple Choice

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

• A) \(\frac { 11 } { 10 }\)
• B) \(\frac { 8 } { 7 }\)
• C) \(\frac { 3 } { 2 }\)
• D) \(\frac { 10 } { 9 }\)
• E) \(\frac { 6 } { 5 }\)

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Definitions:

Primary

This term describes a functional group or atom connected directly to one other carbon atom, typical in the classification of alcohols and amines.

Secondary

In chemistry, indicates molecules or functional groups that are attached to a secondary carbon atom, which itself is connected to two other carbon atoms.

Tertiary

Referring to an organic molecule or an ion that has a carbon atom connected to three other carbon atoms.

IUPAC Name

Naming chemicals systematically in alignment with the regulations provided by the International Union of Pure and Applied Chemistry.