Carpenter ants are large, usually black ants that make their colonies in wood. Although often considered...

 

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Carpenter ants are large, usually black ants that make their colonies in wood. Although often considered to be pests around the home, carpenter ants play a significant role in a forested ecosystem Carpenter ants begin with a parent colony. When this colony is well-established, they form satellite colonies consisting of only the workers. An established colony may have as many as 3000 ants. Suppose that the growth of the colony produces an arithmetic sequence in which the number of ants increases by approximately 80 ants each month. Beginning with 40 ants, how many months would it take for the ant population to reach 3000? Carpenter ants are large, usually black ants that make their colonies in wood. Although often considered to be pests around the home, carpenter ants play a significant role in a forested ecosystem Carpenter ants begin with a parent colony. When this colony is well-established, they form satellite colonies consisting of only the workers. An established colony may have as many as 3000 ants. Suppose that the growth of the colony produces an arithmetic sequence in which the number of ants increases by approximately 80 ants each month. Beginning with 40 ants, how many months would it take for the ant population to reach 3000?

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