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### Unit 6: Lesson 4

Modeling with sequences

# Sequences word problems

You might need: Calculator

## 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, percent of its size each year.
Let f, left parenthesis, n, right parenthesis be the number of bears in the reserve in the n, start superscript, start text, t, h, end text, end superscript year since Zhang Lei started tracking it.
f is a sequence. What kind of sequence is it?
Complete the recursive formula for f, left parenthesis, n, right parenthesis.
f, left parenthesis, 1, right parenthesis, equals
f, left parenthesis, n, right parenthesis, equals, f, left parenthesis, n, minus, 1, right parenthesis
Stuck?
Stuck?