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Get ready for Precalculus

Course: Get ready for Precalculus > Unit 6

Lesson 4: Modeling with sequences
Math
Get ready for Precalculus
Get ready for series
Modeling with sequences
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Sequences word problems

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Problem

Zhang Lei tracked the size of the bear population in a nature reserve. The first year, there were 1000 bears. Sadly, the population lost 10% of its size each year.
Let f(n) be the number of bears in the reserve in the nth year since Zhang Lei started tracking it.
f is a sequence. What kind of sequence is it?
Choose 1 answer:
Complete the recursive formula for f(n).
f(1)=
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
f(n)=f(n−1)
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
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