A scientist has discovered an organism that replicates at a rate of five per hour and lives for one week. 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?
2,801
19,531
19,607
97,655

Question

A scientist has discovered an organism that replicates at a rate of five per hour and lives for one week. 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?
2,801
19,531
19,607
97,655

h2so4 · Answer

Is it 97,655?

cuanchi · Answer

how did you got that?

aaronq · Answer

I'm probably not seeing something because I got none of those answers.. We know that after each hour each old organism gives rise to 5 new organisms.

Hr 1, 1 organism

Hr 2, 5 new organisms + 1 old organism = 6 
         ^ 
      (1*5)

Hr 3, 30 new + 6 old =36
          ^ 
        (6*5)

Hr 4, 180 new + 36 old= 216 
           ^
         (36*5)

If we continue this...
            Hr                   1   2    3     4       5         6         7
# of Organisms           1   6   36  216   1296   7776  46656

cuanchi · Answer

Yes I got the same that @aaronq , at least we are missing something here