Look for a pattern-Journal#10

Question


continue these numerical sequences.

1,4,7,10,13,     ,       ,       .


19,20,22,25,29,        ,         ,          .                                 


2,6,18,54,       ,          ,          .

Solution:


1st.Understand the problem.
Students should realize that they are to be able to notice a pattern.

2nd.Devise a plan.
Look for a pattern.


3rd.Carry out the plan.

1,4,7,10,13,    ,      ,       .
Hopefully the students will notice "add three to the previous term to generate the next term.
The answer is 1,4,7,10,13,16,19,22.

19,20,22,25,29,    ,      ,      .
The patter  is add one to the previous term,then add two to that term,then add three....
The answer is 19,20,22,25,29,34,40,47.


2,6,18,54,    ,        ,        .
The pattern is to multiply the previous term by three to generate the next term.
The answer is 2,6,18,54,162,486,1458.


4th Look back
Ask if students saw other patterns ?Did they have different interpretation of the patterns?