Question

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

Answer 1

Answer:

Step-by-step explanation:

In hour one, there is 1 organism. In hour two, there are 5 more organisms.

∴ the number of organism in each hour would be:

1, 5, 25, 125,.........

The series is in a Geometrical Progression.

The Sum of first n terms of a Geometrical Progression.

Sₙ = a(rⁿ-1)/r-1

where,

a = first term = 1

r = common ratio = 5

n = 7

We put the values:

S = 1 (5⁷ -1)/ 5-1

5⁷ -1/4

78125-1/4

78124/4

=19531

∴ after 7 hours the  number of organisms will be 19531

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Answer 2

Answer:

B 19,531

B Step-by-step explanation *insert really good explanation *