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

Answer:
The correct answer choice is: B
Step-by-step 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) [tex]=200\times 30=6000[/tex]
Thus, the total number of cells in culture A at the end of one month will be: [tex]1000+6000=7000[/tex]
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: [tex]A=P(1+r)^t[/tex], where [tex]P=[/tex] Initial amount, [tex]A=[/tex] Final amount, [tex]r=[/tex] Rate of growth in decimal form and [tex]t=[/tex] Time duration.
Using the above formula, the number of cells after 30 days will be.....
[tex]A= 1000(1+0.08)^3^0\\ \\ A=1000(1.08)^3^0= 10062.656...[/tex]
That means, Culture B is more effective in promoting cell growth.