The following geometric sequences represent the populations of twobacterial cultures at the 1-hour mark, the 2-hour mark, the 3-hour mark, andso on. Culture A starts with more bacteria, but culture B has a ratio ofincrease that is larger. Which culture will have the greater population at the18-hour mark?Culture A: 900, 1350, 2025, 3037.5. Culture B: 10, 20, 40, 80A. Culture AB. Culture B​

Answer:Culture BStep-by-step explanation:In Culture A, the number of bacteria is increasing in a G.P. sequence with first term 900 and common ratio 1.5. Therefore, the 18th-hour population of bacteria will be  [tex]900 \times (1.5)^{(18 - 1)} = 886735.128[/tex] Again in Culture B, the number of bacteria is increasing in a G.P. sequence with first term 10 and common ratio 2. Therefore, the 18th-hour population of bacteria will be  [tex]10(2)^{(18 - 1)} = 1310720[/tex] Therefore, Culture B will have a greater population at the 18-hour mark. (Answer)