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Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day.


Day Amount of Change in
Bacteria
1 3
2 −6
3 12
4 −24

A−15
B15
C127
D129

Answer :

Martebi

The sum of the amounts of change in the bacteria after the seventh day is 6554.

What is the  geometric sequence about?

The sequence are:

2, -8, 32, -128

Note that a first term of:

(a) of 2

A common ratio (r) of -8/2 = -4.

So the sum of n terms is said to be:

 Sn = a1·(r^ n -1)/(r -1)

For the given sequence, the sum of 7 terms is said to be:

 S7 = 2·((-4)^7 -1)/(-4-1)

= 2(-16384/-5)

= 6554

Therefore, The sum of the amounts of change in the bacteria after the seventh day is 6554.

Learn more about  geometric sequence from

https://brainly.com/question/17166546?referrer=searchResults

#SPJ1

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