A City Was Incorporated in 2004 with a Population of 45,000

question 32

Essay

A city was incorporated in 2004 with a population of 45,000. It is expected that the population will increase at a rate of 2% per year. The population n years after 2004 is given by the sequence $P _ { n } = 45000 ( 1.02 ) ^ { n }$
a) Find the first 5 terms of the sequence
b) Find the population in 2014.

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Definitions:

Resonance Form

Alternative structures of a molecule that depict its electrons in different positions, illustrating delocalization within the molecule.

Line-Angle Formula

A shorthand representation of organic molecules where lines represent bonds and vertices represent carbon atoms, simplifying structural depiction.

Resonance Structure

Different Lewis structures representing the same molecule that differ only in the positions of the electrons, not the positions of the atoms.

Organic Molecule

A molecule of the kind typically found in living systems, often containing carbon atoms bonded to hydrogen, oxygen, or nitrogen.