Maths Homework- sequences

posted 22 Sep 2015, 13:55 by H Killen   [ updated 22 Sep 2015, 13:55 by L Ross ]

LO: To identify and extend number sequences

Look at what is happening from 1 term to the next. Then finish the sequence and identify the rule.

 

1.  3,   7,   11,   15,   19, _________ , _________ , _________ , _________

        Rule = ____________________

2.  132,   126,   120,   114, _________ , _________ , _________ , _________

         Rule = ____________________

3.  128,   64,   32,   16, _________ , _________ , _________ , _________

        Rule = ____________________

4. 100,000,    10,000,   1000,   _________ , _________ , _________

  Rule = ____________________

5. 3,   6,   12,   24, _________ , _________ , _________

  Rule = ____________________

Challenge = 1.5,   2,   2.5,   3, _________ , _________ , _________ , _________

  Rule = ____________________

We talked a little bit about Fibonacci in class and how he discovered a number sequence. Remember you add the 2 numbers before to get the next number! Can you continue the sequence?

 

0, 1, 1, 2, 3, 5, 8, 13, 21, ______, 55, 89, 144, 233, ________ , _________ , ________

 

Challenge (optional): Take any three numbers in the sequence. Multiply the middle number by itself. Then multiply the first and the third numbers together.

Text Box: Use a calculator to help!What do you notice? Do the answers have anything in common?

E.g.

1, 1, 2 = 1 x 1 = 1

         1 x 2 = 2

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