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# Number sequences

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### Number sequences

1. 1. Number Sequences.TLI: To recognise and extend numbersequences formed by counting from anynumber in steps of constant size, extendingbeyond zero when counting back.Year 4
2. 2. Sequences!We all know this sequence of numbers! What is the rule?1 2 3 4 5 6 7 8 9Of course its add one!In todays lesson we are going to be looking at lots of differentsequences!
3. 3. Look at these number sequences carefully canyou guess the next 2 numbers?What about guess the rule?30 40 50 60 70 8017 20 292623 32------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------48 41 34 27 20 13+10+3-7
4. 4. Can you work out the missing numbers in each ofthese sequences?503017515012510075---------------------------------------------------------------------------------------------------------------------50 70 90 110 130---------------------------------------------------------------------------------------------------------------------171176181186191196---------------------------------------------------------------------------------------------------------------------256266276286296306+25+20-5-10
5. 5. Now try these sequences – think carefully and guess thelast number!1 2 164 7 113---------------------------------------------------------------------------------------------------------------------12 24 48 966---------------------------------------------------------------------------------------------------------------------0.5 2 3.5 5 6.5 8---------------------------------------------------------------------------------------------------------------------7 -5-214 -8+1, +2,+3 …double+ 1.5-3
6. 6. This is a really famous number sequence which wasdiscovered by an Italian mathematician a long time ago.It is called the Fibonacci sequence and can be seen in manynatural things like pine cones and sunflowers!!!1 1 2 3 5 8 13 21 etc…Can you see how it is made? What will the next numberbe?34!See if youcan find outsomethingaboutFibonacci!
7. 7. Guess my rule!For these sequences I have done 2 maths functions!3 7 3115 63 127x2 -12 3317953x2 +1