# Ascientist has discovered an organism that produces five offspring exactly one hour after

###### Question:

## Answers

B. 19,531

Step-by-step explanation:

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 = [tex]\frac{a(r^{n} - 1) }{r -1}[/tex]

Substituting, we have

S₇ = [tex]\frac{1(5^{7} -1) }{5-1}[/tex]

S₇ = 78124/4

= 19531

Therefore, there are 19531 number of organisms 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

[tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex]

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.

[tex]S_{7}=\frac{1(5^{7}-1)}{5-1}[/tex]

= [tex]\frac{(78125-1)}{5-1}[/tex]

= [tex]\frac{78124}{4}[/tex]

= 19531

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

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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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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the diameter is 16 cm. are you a teacher?

step-by-step explanation:

[tex]What measures of the cylinder do 26 and 34 describe? 26 cm 34 cm radius and diameter radius and hei[/tex]Ithink it’s b because it say 3 plastic rings and all the balls