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seropon [69]
3 years ago
7

The number of windows on each floor form an arithmetic sequence; 124 windows on the first floor, 116 windows on the second floor

. Derive the explicit formula from the given information and find how many windows are on the tenth floor.
Mathematics
1 answer:
zubka84 [21]3 years ago
6 0

Answer:

Formula is 132 - 8n, and there are 52 windows on 10th floor.

Step-by-step explanation:

difference = 116-124 = -8  ( 8 less windows for every floor you go up)

the first fllor has 124 windows

Formula:

a_{1} = 124

a_{n} = 124 + (-8)(n - 1) = 132 - 8n

10th Floor:

a_{10} = 124 + (-8)(10 - 1) = 124 + (-8)(9) = 124 - 72 = 52  windows

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