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Vanyuwa [196]
3 years ago
7

Which of the following expressions can be used to find how many meters it is from Washington, D.C.,To Baltimore

Mathematics
1 answer:
alexira [117]3 years ago
4 0
What where are the expressions at?
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A house worth $70,000 when purchased was worth $67,000 after the first year and $64,000 after the second year. If the economy do
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Answer:

a) The formula for the sequence is

a_n = 67,000 -3,000(n-1)

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Step-by-step explanation:

Note that the difference between any two consecutive terms in the sequence is always equal to $3,000

67,000-70,000= -3,000\\\\64,000-67,000=-3,000

Then we have an arithmetic sequence where each term increases by a magnitude of 3,000 with respect to the previous term.

The explicit formula for an arithmetic sequence is:

a_n = a_1 +d(n-1)

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n represents the number of years since the house was purchased

With

n={0, 1, 2, 3, 4, 5, 6, 7,.., n}

a) Then the formula for the sequence is

a_n = 67,000 -3,000(n-1)

With

n={0, 1, 2, 3, 4, 5, 6, 7,.., n}

---------------------------------------------------------------------------------------------

b) Now we can use the formula to find the price of the house after 7 years

a_7 = 67,000 -3,000(7-1)

a_7 = 67,000 -3,000(6)

a_7 = 49,000

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Step-by-step explanation:

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