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The recursive formula for the arithmetic sequence is given as follows:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
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 recursive formula for the sequence is given by:
In the sequence 8, -5, -18, -31,...8,−5,−18,−31, the first term and the common ratio are given as follows:
Hence, the recursive sequence is given by:
- d(1) = 8.
- d(n) = d(n - 1) - 13.
More can be learned about arithmetic sequences at brainly.com/question/6561461
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Given:
The area of the rectangular garden is 18z+24 sq ft.
To find the possible dimensions of the garden.
Formula
The area of the rectangular garden is
where,
l be the length of the rectangle
b be the width.
Let us take l and b be the length and width of the given rectangular park respectively.
Now,
According to the problem,
or,
We can determine that,
l = 6 and b = 3z+4 or vice versa.
Hence,
The possible length and width of the rectangular garden is 6 and (3z+4) respectively.