Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 8 } \right) ^ { n }$

question 274

Multiple Choice

Find the sum of the infinite geometric series.(Round your answer to the nearest whole number.) $\sum _ { n = 0 } ^ { \infty } \left( \frac { 1 } { 8 } \right) ^ { n }$

• A) \(\frac { 8 } { 9 }\)
• B) \(\frac { 7 } { 8 }\)
• C) \(\frac { 9 } { 7 }\)
• D) \(\frac { 9 } { 8 }\)
• E) \(\frac { 8 } { 7 }\)

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Definitions:

Ignoring

A behavioral strategy where no attention or reinforcement is given to a certain behavior, with the aim of reducing or eliminating it.

Inappropriate Behavior

Actions or conduct that are not suitable or acceptable in a given context or situation, often violating social norms or expectations.

Generalized Conditioned Reinforcer

A specific type of conditioned reinforcer. Generalized conditioned reinforcers can be exchanged for a virtually limitless amount of items and activities. Money is the prototypic example.

Social Reinforcement

A positive or negative feedback from others that influences the likelihood of a behavior's recurrence, enhancing social learning.