Write recursive rules for special sequences

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EXAMPLE 3
Write recursive rules for special sequences
Write a recursive rule for the sequence.
a. 1, 1, 2, 3, 5, . . .
b. 1, 1, 2, 6, 24, . . .
SOLUTION
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EXAMPLE 3
Write recursive rules for special sequences
3
EXAMPLE 4
Solve a multi-step problem
Music Service
An online music service initially has 50,000
annual members. Each year it loses 20 of its
current members and adds 5000 new members.
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EXAMPLE 4
Solve a multi-step problem
SOLUTION
STEP 1
Write a recursive rule. Because the number of
members declines 20 each year, 80 of the
members are retained from one year to the next.
Also, 5000 new members are added each year.
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EXAMPLE 4
Solve a multi-step problem
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EXAMPLE 4
Solve a multi-step problem
STEP 2
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EXAMPLE 4
Solve a multi-step problem
STEP 3
Describe
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for Examples 3 and 4
GUIDED PRACTICE
9. Write a recursive rule for the sequence.
a. 1, 2, 2, 4, 8, 32, . . . .
9
for Examples 3 and 4
GUIDED PRACTICE
10. WHAT IF? In Example 4, suppose 70 of the
member are retained each year. What happen to the
number of member over time?