Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven?

Number of organism after 7 hours will be 19531

Step-by-step explanation:

A scientist discovered an organism that produces 5 offspring in one hour and goes on to live for 1 week without producing any additional offspring.

That means the geometrical sequence will be formed with the common ratio of 5.

Now we know sum of a geometric sequence is represented by

where a = first term of the sequence

r = common ratio

n = number of terms

We have to calculate the total number of organisms after 7 hours.

=

=

= 19531

Therefore, after 7 hours number of organism will be 19531.