Lee is staying at a hotel. the cost of the first night is $240. the cost for each night after that is $210. let y represent the total cost of staying at the hotel for x nights. which type of sequence does the situation represent?

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

∴ y = 240 + 210(4 - 1) = 870

∵ The difference between each two consecutive terms are constant

  (450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)

∴ The sequence is arithmetic sequence

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Step-by-step explanation:

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