Determine Whether Each of the Following Series Is Convergent or Divergent.(a)

question 206

Short Answer

Determine whether each of the following series is convergent or divergent.(a) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 + 3 ^ { - n } }$ (b) $\sum _ { n = 0 } ^ { \infty } \frac { \pi ^ { n } } { 3 ^ { n } }$ (c) $\sum _ { n = 1 } ^ { \infty } \frac { e ^ { n } } { 3 ^ { n } }$

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Definitions:

Behavioral Intent

The motivation or purpose behind an individual's specific action or behavior.

Test a Hypothesis

The process of conducting experiments or observations to determine whether evidence supports or contradicts a specific prediction or assumption.

Functional Assessments

Evaluations that determine the underlying cause or function of a behavior, often used to develop effective interventions.

Functional Assessment

An evaluative process that identifies the purpose or function of a behavior, typically to develop more effective interventions.