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.

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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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