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Mrs. Previte and Mrs. Lonardo's Math Site

Finding a Pattern

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Make sure that all your answers are recorded on the answer sheet!

Finding a pattern in a set of numbers can help you organize data. 

 

Activity 1 

Look at this set of numbers and see if you can figure out what comes next to complete the pattern.

2, 6, 12, 20, ___, ___, ___  What is the pattern?  How did you know what the pattern was in the numbers?  Can you make a similar pattern?   Try your pattern on a friend.

    Here are some other patterns to try: 

1, 2, 4, 8, ___, ___, ___ 

1, 2, 4, 7, 11, ___, ___, ___

2, 3, 5, 9, ___, ___, ___

1, 5, 25, 125, ___, ___, ___

3, 12, 48, 192, ___, ___, ___

    Now, let's find some more patterns. 

 

    Activity 2

James began writing a book.  At the end of the first week, he'd written 10 pages.  By the end of the second week, he'd written 6 more pages, for a total of 16 pages.  At the end of the third week, he had a total of 23 pages and by the end of the fourth week he had 31 pages completed in his book.  If he continues writing at this same rate, how many pages will his book have at the end of the seventh week?

 

Activity 3

Mary's five friends began an exercise group.  They decided to walk along a trail each day. On the first day, they walked 2/3 of the trail.  On the second day, they walked 3/5 of the trail.  On the third day, they walked 4/7 and on the fourth day 5/9 of the trail.  If this pattern continues, how far will Mary and her friends walk on the tenth day?

 

Activity 4

Jason began a weight-training program.  The first week, he lifted 12 pounds.  For the following three weeks, he lifted 13, 14.5, and 16.5 pounds.  If he continues this pattern, during which week will he lift more than 50 pounds?

 

Activity 5

Susie decided to join a stamp-collecting club.  During the first month, she collected 48 stamps.  During the next three months, she collected 72, 96, and 120 stamps.  If she continues collecting stamps at this same rate, during which month will she have more than 200 stamps in her collection?

Go to Organized List Page

Math is as easy as PI!