Question

A bacteria culture is grown with a population of 15 million cells and kept under observation. The bell population is found to double every hour. How can we use geometric sequences and series to find the total population after six hours? Show all work.

Answer 1

Population after 6 hours is 2.44 *10^12

Explanation:

The geometric population growth formula is

`P = P_0 * e^(kt)`

Substituting the given values in above equation we get

`P = 15 *10^6 * e^(2 * 6)\\P = 15 *10^6 * 162754.791\\P = 2.44 *10^(12)`

Population after 6 hours is 2.44 *10^12