413,451 views
12 votes
12 votes
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-example-1
User Afiq Johari
by
2.6k points

1 Answer

14 votes
14 votes

..

SOLUTION


\begin{gathered} Given\text{ that } \\ \text{a\lparen n\rparen=20}*3^((n-1)) \\ where\text{ n is generation} \end{gathered}
when\text{ n=9, a\lparen n\rparen=?}
\begin{gathered} a(9)=20*3^(9-1)=20*3^8 \\ a(9)=20*6561 \\ a(9)=131220 \end{gathered}

The answer is 131220

User Oakley
by
2.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.