11
QuizMultiple Choice

Geometric Series

Question 11 • DHS Algebra 2 V

A scientist 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?

Answer
A
2,801
B
19,531
C
19,607
D
97,655

Explanation

Each organism produces five offspring one hour after its birth, so the number born each hour is multiplied by 5: 1, 5, 25, 125, 625, 3,125, and 15,625 through hour seven. The total is 1 + 5 + 25 + 125 + 625 + 3,125 + 15,625 = 19,531. So the correct choice is B, 19,531.

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