IMPLEMENTATION: Subtract 2 from 13 to get 11. Add 3 to 11 to get 14.
Hence, the next two numbers should be 11 and 14.
EVALUATION: In order to check the answers, you need to see if the
‘‘subtract 2, add 3’’ solution works for all the numbers in the sequence, so
start with 10.
10 2 ¼ 8
8 þ 3 ¼ 11
11 2 ¼ 9
9 þ 3 ¼ 12
12 2 ¼ 10
10 þ 3 ¼ 13
13 2 ¼ 11
11 þ 3 ¼ 14
Voila!You have found the solution! Now let’s try another one.
EXAMPLE:Find the next two numbers in the sequence
1 2 4 7 11 16 22 29 _____ _____
SOLUTION:
GOAL: You are asked to find the next two numbers in the sequence.
STRATEGY: Again we will use ‘‘find a pattern.’’ Now ask yourself, ‘‘What
is being done to the first number to get the second one?’’ Here we are adding
- Does adding one to the second number 2 give us the third number 4? No.
You must add 2 to the second number to get the third number 4. How do we
get from the third number to the fourth number? Add 3. Let’s apply the
strategy.
LESSON 1 Introduction 3