Question

The following geometric sequences represent the populations of two bacterial cultures after 0 hours, 1 hour, 2 hours, and so on. Culture A starts with more bacteria, but culture B has a ratio of increase that is twice as large. Which culture will have the greatest population after 10 hours?

Culture A: 1000, 1500, 2250, 3375, ...
Culture B: 1, 3, 9, 27, ...

A. Culture A
B. Culture B

Answer 1

help

Answer 2

First we need to understand the sequences. According to my calculations- #1 doubles the value it adds. #2 (*3) the value

Answer 3

ok

Answer 4

the population after 10 hours will be a1 r^9


where a = starting population and r = common ratio

Answer 5

*a1

Answer 6

so a is 2hours

Answer 7

so its b

Answer 8

the common ratio for A is 1500/1000 = 1.5
and for b its 3/1 = 3

Answer 9

after 10years A = 1000* 1.5^9
and B = 1* 3^9

Answer 10

so its a

Answer 11

right????

Answer 12

yes

Answer 13

thx

Answer 14

A = 38443
and B = 19683

Answer 15

remember a GP has term a1, a1 r, a1r^2, a1r^3....

Answer 16

kk