A Sequence Is Defined By $b _ { n } = 1.0001 ^ { n }$

question 196

Essay

A sequence is defined by $b _ { n } = 1.0001 ^ { n }$ .(a) Calculate $b _ { 10 ^ { 3 } }$ and $b _ { 10 ^ { 5 } }$ .(b) Determine whether $b _ { n }$ converges or diverges. If it converges, find the limit.

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Definitions:

Experimental Data

Data obtained through manipulation and controlled testing in an experiment, designed to discover causal relationships between variables.

Observational Data

Information collected through observing subjects in their natural environment without manipulating the study environment.

Direct Observation

A method of collecting data by watching subjects in their natural environment without manipulation or interference.

Experimental Designs

Experimental designs refer to the framework or structure of a study that enables the researcher to control and manipulate variables to establish cause-and-effect relationships.