A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to li

Question

2 years ago

10

A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to li

ve
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?
2,801
19,531
19,607
97.655

Mathematics

2 answers:

Pavel [41] · Answer 1 · 2022-03-23T11:04:03+03:00

Pavel [41]2 years ago

5 0

Answer:

B. 19,531

Step-by-step explanation:

leonid [27] · Answer 2 · 2022-03-23T13:25:59+03:00

Answer:

The correct answer is option (2) 19,531

Step-by-step explanation:

Given Data;

a = 1 (first term)

r = 5 (five offspring)

n = 7 ( number of hours)

Using the formula of a geometric progression, we have

S₇ = $\frac{a(r^{n} - 1) }{r -1}$

Substituting, we have

S₇ = $\frac{1(5^{7} -1) }{5-1}$

S₇ = 78124/4

= 19531

Therefore, there are 19531 number of organisms at hour seven.