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A particular strain of bacterium has 20 bacteria in generation 1 and triples in population every generation. The explicit formula for the number of bacteria in generation n is:How many bacteria are in generation 9?

A particular strain of bacterium has 20 bacteria in generation 1 and triples in population every generation The explicit formula for the number of bacteria in g class=

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SOLUTION

[tex]\begin{gathered} Given\text{ that } \\ \text{a\lparen n\rparen=20}\times3^{(n-1)} \\ where\text{ n is generation} \end{gathered}[/tex][tex]when\text{ n=9, a\lparen n\rparen=?}[/tex][tex]\begin{gathered} a(9)=20\times3^{9-1}=20\times3^8 \\ a(9)=20\times6561 \\ a(9)=131220 \end{gathered}[/tex]

The answer is 131220

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