The number of bacteria in an experiment can be represented by the formula Nt+1=2.5Nt. In the formula, Nt is the number of bacteria at the end of t minutes, and Nt+1 is the number of bacteria at the end of t+1 minutes. There are 16,400 bacteria in the experiment at the end of 7 minutes. How many bacteria will be in the experiment at the end of 10 minutes?
a) 23,429
b) 102,500
c) 123,000
d) 256,250
Could you explain how to solve the problem? Thank you!