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Using sequences concepts, it is found that:
- The set of ordered pairs {(-3, 7.5) , (-2, 10) , (-1, 12.5)} is an arithmetic sequence with equation a(n) = 15 + 2.5d.
- The set of ordered pairs {(1, 150) , (2, 112.5) , (3, 84.375)} is a geometric sequence with
.
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:
The sequence {(-3, 7.5) , (-2, 10) , (-1, 12.5)} continues with points (0, 15), (1, 17.5), and so on, hence the first term and the common ratio are given, respectively, by:
a(0) = 15, d = 2.5.
Hence the equation is:
a(n) = 15 + 2.5n.
<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:
For the sequence {(1, 150) , (2, 112.5) , (3, 84.375)}, the first term and the common ratio are given, respectively, by:
Hence the equation is given by:
More can be learned about sequences at brainly.com/question/6561461
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