fatimaacarrillo2005
31.03.2020 •
Mathematics
Problem Set
For Problems 1–4, list the first five terms of each sequence, and identify them as arithmetic or geometric.
1) An+1=An+4 for n≥1 and A1=-2
2) An+1=14An for n≥1 and A1=8
3) An+1=An-19 for n≥1 and A1=-6
4) An+1=23An for n≥1 and A1=6
For Problems 5–8, identify the sequence as arithmetic or geometric, and write a recursive formula for the sequence. Be sure to identify your starting value.
5) 14, 21, 28, 35, …
6) 4, 40, 400, 4000, …
7) 49, 7, 1, 17, 149, …
8) -101, -91, -81, -71, …
9) The local football team won the championship several years ago, and since then, ticket prices have been increasing $20 per year. The year they won the championship, tickets were $50. Write a recursive formula for a sequence that models ticket prices. Is the sequence arithmetic or geometric?
10)A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the substance in a rock is 1,452 g, write a recursive formula for a sequence that models the amount of the substance left after the end of each year. Is the sequence arithmetic or geometric?
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