geometric sequence and the first generation, math homework

geometric sequence and the first generation, math homework

One of the many uses of sequences and series is to find out the population of a colony of insects generation after generation. Lets say, there was a colony of ants where their number ants  after the first generation is double the number in the previous generation. This kinda  sequence is geometric sequence.There is a common ratio of 2. If the first generation had 100 ants we can find the number of ants in the 5th generation by the formula an = a1r^n-1 where n is 5 and a1 is 100 and r is 2.

a5 = 100*2^5-1

a5= 100*2^4

a5 = 1600

– I need you to make an example similar to this