Question

8 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Answer 1

The correct answer choice is: B

Explanation:

Culture A

Initial number of cells = 1000

The number of cells is raised by 200 each day and every day thereafter.

So, the number of cells raised in one month(30 days)
`=200* 30=6000`

Thus, the total number of cells in culture A at the end of one month will be:
`1000+6000=7000`

Culture B

Initial number of cells = 1000

The number of cells is increased by 8% each day and every day thereafter.

Formula for exponential growth is:
`A=P(1+r)^t`, where
`P=` Initial amount,
`A=` Final amount,
`r=` Rate of growth in decimal form and
`t=` Time duration.

Using the above formula, the number of cells after 30 days will be.....

`A= 1000(1+0.08)^3^0\\ \\ A=1000(1.08)^3^0= 10062.656...`

That means, Culture B is more effective in promoting cell growth.