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Using a geometric sequence, it is found that:
a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32
b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.
<h3>What is a geometric sequence?</h3>A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:
Hence the number of people after n weeks is:
For the first 5 weeks, the numbers are:
There will be 150 volunteers when , hence:
The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.
Hence some of the volunteers can stop recruiting new volunteers during the 7th week.
More can be learned about geometric sequences at brainly.com/question/11847927
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Answer:
The smaller bottle holds 12.5 ml of perfume.
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<h2>Given</h2>- Two bottles of similar shape;
- Larger bottle has volume of 100 ml;
- The length of larger bottle is 10 cm;
- The length of smaller bottle is 5 cm.
- The volume of smaller bottle.
Find the scale factor, the ratio of corresponding dimensions:
We know the volume is the function of three dimensions, therefore the ratio of volumes is the cube of the scale factor:
Substitute the known values and find the volume of small bottle:
The smaller bottle holds 12.5 ml of perfume.