You are constructing a brick patio in the shape of a trapezoid, and the numbers

Question

You are constructing a brick patio in the shape of a trapezoid, and the numbers of bricks in the rows constitute an arithmetic sequence. The 12h row contains 49 bricks, and the 24h row contains 85 bricks. If the patio has a total of 26 rows of bricks, how many bricks are required to construct the patio? (2 points) 1. 2. The ABC Company manufactures and sells cellular telephones. The company's gross sales, beginning in the first year of operation, are as follows: Year Sales (in millions of U.S. dollars) 2 4 48 1.032 2.21884.7704210.256403 Is the sales growth for ABC Company a geometric sequence? Why or why not? If the sales growth is a geometric sequence, what is the common ratio? (1 point) a. b. If the sales growth pattern continues, what will be the sales for ABC Company in year 12? (1 point) c. What will be the total sales for ABC Company for years 1 through 12? (1 point)

Explanation / Answer

1). Let a be the first term and d be the common ratio of the arithmetic sequence. Then a+11d=49 and a+23d=85. Solving we get a=16,d=3. Hence number of bricks is 26/2(2*16+25*3)=13*107=1391.

2. a) 1.032/0.48=2.2188/1.032=4.77042/2.2188=10.256403/4.77042=2.15 implies the groth is a geometric sequence.

2.b) 0.48*(2.15.)11=2178.0322

2.c) 0.48*[(2.15)12-1]/[2.15-1]=4071.55586.

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