Question

40 POINTS!!!!!!!
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 1

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

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