Q. 62

The number of bacteria in a certain culture doubles very 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? nth hour?



Answer :


As per question, the number of bacteria in a certain culture doubles every hour. So, they form a G.P. in which a = 30 and r = 2.

Bacteria present after 2nd hour, 4th hour and nth hour are T3, T5 and Tn+1 i.e., ar2, ar4 and arn.

i.e., 30(2)2, 30(2)4 and 30(2n) respectively.

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