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Sum an Appropriate Infinite Series to Find the Rational Number 0.1851850.185 \overline { 185 }

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Sum an appropriate infinite series to find the rational number whose decimal expansion is: 0.1851850.185 \overline { 185 } Enter just a reduced fraction of form ab\frac { a } { b } .

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Definitions:

Decommissioning

The process of taking a facility or site out of service or use, often involving cleanup and safe removal of materials or structures.

Nuclear Power Plants

Complexes that convert energy from nuclear fission into electrical energy, being a significant source of base-load electricity with low greenhouse gas emissions.

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The practice of temporarily shutting down a facility or equipment but maintaining it in a condition that allows its future reuse.

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