Michelle records the value of one euro in U.S dollars each day for her social studies project.
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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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Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>
<span>the result of which is </span>
<span>
</span>
<span>We calculate </span>
<span> the result of which is </span>
<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
, and the result is 
.
<span>We calculate </span>
<span> the result of which is</span>
<span>.
</span>
Therefore,
The First step is to line up the numbers.
<span>We calculate </span>
</span>
<span>We calculate </span>
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate
<span>We calculate </span>
</span>
Therefore,