The Given Pattern Continues $$\frac { 1 } { 1 } , \frac { 1 } { 4 } , \frac { 1 } { 9 } , \frac { 1 } { 16 } , \frac { 1 } { 25 } , \ldots$$

question 210

Multiple Choice

The given pattern continues. Write down the nth term of the sequence suggested by the pattern.
- $$\frac { 1 } { 1 } , \frac { 1 } { 4 } , \frac { 1 } { 9 } , \frac { 1 } { 16 } , \frac { 1 } { 25 } , \ldots$$

• A) \(a _ { n } = \frac { 1 } { 3 n - 2 }\)
• B) \(a _ { n } = \left( \frac { 1 } { 2 } \right) ^ { n - 1 }\)
• C) \(a _ { n } = \frac { 1 } { n ^ { n - 1 } }\)
• D) \(a _ { n } = \frac { 1 } { n ^ { 2 } }\)

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Definitions:

Green Plants

Organisms that perform photosynthesis, using sunlight, carbon dioxide, and water to produce oxygen and carbohydrates, playing a crucial role in Earth's ecosystems.

Inverted Energy Pyramid

A reversal of the typical energy flow seen in food chains, where higher trophic levels have greater biomass or energy than the lower levels, typically occurring in aquatic ecosystems.

Ecosystem

A community of living organisms in conjunction with the nonliving components of their environment, interacting as a system.

Producers

Organisms, primarily plants and algae, that produce organic compounds from inorganic substances through photosynthesis, forming the base of the food chain.