Question

bacteria can multiply at an alarming rate when is bacteria slides into to move cells does doubling if we start with only one bacteria which can double every hour how many bacteria will be have by the end of four hours​

Answer 1

touch to expand......

Answer 2

The number of bacteria at the end of fourth hour is 16.

Step-by-step explanation:

This is a case of Geometric Progression with the first term $a = 1$ and $r = 2$

We have to find the number of bacteria at the end of fourth hour.

Let us consider the $5^{th}$ term i.e., $a_{5}$ to find the number of bacteria at the end of fourth hour,

         $a_{n} = a\times r^{n-1}  \\ a_{5} = 1\times 2^{5-1}\\a_{5} = 1\times 2^{4}\\a_{5} = 2^{4}\\a_{5} = 16$

∴ The number of bacteria at the end of fourth hour is 16.