Determine Whether the Series $\sum _ { n = 0 } ^ { \infty } \frac { 1 + \sin ^ { 2 } n } { 5 ^ { n } }$

question 111

Short Answer

Determine whether the series $\sum _ { n = 0 } ^ { \infty } \frac { 1 + \sin ^ { 2 } n } { 5 ^ { n } }$ converges.

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Definitions:

Annual Report

A comprehensive report on a company's activities, financial performance, and strategy, usually published at the end of the fiscal year.

Insider Trade

The buying or selling of a publicly-traded company's stock by someone with access to non-public, material information about the company.

Provincial Securities Act

Legislation enacted by a province to regulate the trading of securities within its jurisdiction.

Mining Exploration

The process of searching for minerals or precious metals in the Earth's crust, typically involving surveying, drilling, and sampling.