Using an arithmetic sequence, it is found that the opera house will have 6150 chairs.
<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.
The sum of the first n terms is given by:
In this problem, the sequence is:
Hence the first term and the common ratio are given, respectively, by:
Then the 50th term is:
The number of chairs is the <u>sum of the first 50 terms</u>, hence:
More can be learned about arithmetic sequences at brainly.com/question/6561461
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