Can someone help me this please? Problems 3 and 4. Number 3 is the "Find x" and Number 4 is the Yield sigh.
1 answer:
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For this case we have the following equation:
To solve we follow the steps below:
We add similar terms from the left side of the equation:
We divide between 6 on both sides of the equation:
Finally, we have to:
Answer:
The recursive formula means that the next term in the sequence is 5 more than the previous one.
So, we know that we start from , which means that the next term is
Similarly,
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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