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Using an arithmetic sequence, it is found that:
i) They collected 300 bottles on June 25th.
ii) The day was July 18th.
<h3>What is an arithmetic sequence?</h3>In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
In which is the first term.
In this problem, the sequence is: {417 ,404 ,391, .........}, hence the first term is , the common difference is d = -13, and the equation is:
Item i)
They started on June 15th, hence June 25th is the 10th day, thus:
They collected 300 bottles on June 25th.
Item ii)
This is n days after June 15th, for which , hence:
33 days after June 15th is July 18th.
More can be learned about arithmetic sequences at brainly.com/question/6561461