The number of bacteria in a certain culture doubles every hour. If the

1.	The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour and nth hour?
Answer» Number of bacteria at the beginning = 30 Number of bacteria after 1 hour = 30 × 2 = 60 Number of bacteria after 2 hours = 30 × 2² = 120 Number of bacteria after 4 hours = 30 × 24 = 30 × 16 = 480 ∴ Number of bacteria after n^th hour = 30 × 2ⁿ

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour and nth hour?

Answer»

Number of bacteria at the beginning = 30

Number of bacteria after 1 hour = 30 × 2 = 60

Number of bacteria after 2 hours = 30 × 2² = 120

Number of bacteria after 4 hours = 30 × 24 = 30 × 16 = 480

∴ Number of bacteria after n^th hour = 30 × 2ⁿ