Answer:
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
