Hence there are 8 different possibilities:
HHH THH
HHT THT
HTH TTH
HTT TTT
EVALUATION:Since there are two ways each coin can fall, there are
2 2 2 ¼8 ways.
Find a Pattern
Many problems can be solved by recognizing that there is a pattern to the
solution. Once the pattern is recognized, the solution can be obtained by
generalizing from the pattern.
EXAMPLE:A wealthy person decided to pay an employee $1 for the first
day’s work, $3 for the second day’s work, and $5 for the third day’s work.
How much did the employee earn for 30 days’ work?
SOLUTION:
GOAL: You are being asked to find the amount the employee earned for a
total of 30 days’ work.
STRATEGY: You can make a table starting with the first day and
continuing until you see a pattern.
IMPLEMENTATION:
Day Amount earned Total
11 1
23 4
35 9
4716
5925
LESSON 21 Using Other Strategies 261