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Vladimir [108]
3 years ago
14

What is the equation for an arithmetic sequence when n = 7 and t(n) = 54

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
You've given us a single term of an arithmetic series. So far, there are an infinite number of different series that it could be a member of. ... In fact, ANY function f (n) for which f (7) = 54 produces a suitable series for whole-number values of 'n'. Here are a few: ... T(n) = n + 47. ... T (n) = 8n - 2. ... T (n) = -10n + 124 .
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B is the correct answer.

We are adding the border of x thickness to all 4 sides of the table.  This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x.  To find the area, we multiply the length and width:

(36+2x)(72+2x) = 3006

Multiplying the binomials, we get:
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Subtract 3006 from both sides:
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Writing in standard form we have
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