Write a Formula for the General Term, or Nth Term $$\frac { 1 } { 9 } , \frac { 8 } { 9 } , \frac { 64 } { 9 } , \frac { 512 } { 9 } , \ldots$$

question 113

Multiple Choice

Write a formula for the general term, or nth term, for the given sequence.
- $$\frac { 1 } { 9 } , \frac { 8 } { 9 } , \frac { 64 } { 9 } , \frac { 512 } { 9 } , \ldots$$

• A) \(a _ { n } = \frac { 8 n } { 9 }\)
• B) \(a _ { n } = \frac { 8 n - 8 } { 9 }\)
• C) \(a _ { n } = \frac { 8 ^ { n - 1 } } { 9 }\)
• D) \(a _ { n } = \frac { 8 ^ { n } - 1 } { 9 }\)

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Definitions:

Carrying Capacity

The maximum population size of a species that an environment can sustain indefinitely, given the food, habitat, water, and other necessities available.

Distribution Pattern

The spatial arrangement of organisms within a particular ecoy or habitat, influenced by environmental factors and species interactions.

Environmental Factor

An element of the physical or biological world that can influence the survival, development, or evolution of organisms.

Competition

An ecological interaction where individuals or species compete for limited resources, affecting their growth and survival.