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There are 10,000 residents in Recluse, Alabama. For the last 10 years, the population has decreased by 25 residents a year. How many residents can they expect if the pattern continues 35 years from now? Write the explicit formula.

There are 10,000 residents in Recluse, Alabama. For the last 10 years, the population has decreased by 25 residents a year. How many residents can they expect if the pattern continues 35 years from now? Write the explicit formula.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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7. There are 10,000 residents in Recluse, Alabama. For the last 10 years, the population has decreased by 25 residents a year. How many residents can they expect if the pattern continues 35 years from now? Write the explicit formula. a. What are the first 3 terms? 10,000, 10,025, 10,050 b. Explicit: a, = 10,000 d = 25 f(n) = a, +25(n-1) c. How many residents will there be 35 years from now? f (36) = 10,000+ 25(36-1)=10,000 + 25(35)= 10,000 + 875= 10,875
Transcribed Image Text:7. There are 10,000 residents in Recluse, Alabama. For the last 10 years, the population has decreased by 25 residents a year. How many residents can they expect if the pattern continues 35 years from now? Write the explicit formula. a. What are the first 3 terms? 10,000, 10,025, 10,050 b. Explicit: a, = 10,000 d = 25 f(n) = a, +25(n-1) c. How many residents will there be 35 years from now? f (36) = 10,000+ 25(36-1)=10,000 + 25(35)= 10,000 + 875= 10,875
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