A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

Correct Answer: 243 × (3<sup>5</sup> -1)
Total number of bacteria after 10 seconds,= 310 - 35= 35 × (35 -1)= 243 × (35 -1)Since, just after 10 seconds all the bacterias (i.e. 35 ) are dead after living 5 seconds each.