Number Sequences

We all know this sequence of numbers! What is the rule? Sequences! We all know this sequence of numbers! What is the rule? 1 2 3 4 5 6 7 8 9 Of course its add one! In today's lesson we are going to be looking at lots of different sequences!

What about guess the rule? Look at these number sequences carefully can you guess the next 2 numbers? What about guess the rule? +10 30 40 50 60 70 80 +3 --------------------------------------------------------------------------------------------------------------------- 17 20 23 26 29 32 --------------------------------------------------------------------------------------------------------------------- -7 48 41 34 27 20 13

Can you work out the missing numbers in each of these sequences? +25 50 75 100 125 150 175 --------------------------------------------------------------------------------------------------------------------- +20 30 50 70 90 110 130 --------------------------------------------------------------------------------------------------------------------- -5 196 191 181 176 171 186 --------------------------------------------------------------------------------------------------------------------- -10 306 296 286 276 266 256

Now try these sequences – think carefully and guess the last number! +1, +2, +3 … 1 2 4 7 11 16 --------------------------------------------------------------------------------------------------------------------- double 3 6 12 24 96 48 --------------------------------------------------------------------------------------------------------------------- + 1.5 0.5 2 3.5 5 6.5 8 --------------------------------------------------------------------------------------------------------------------- -3 7 4 1 -2 -5 -8

Try this sequence. Think carefully! O, 0.5, 1, 1.5, 2, _____, _______, ________ What is the sequence? What are the next three numbers?

The sequence is +0.5. The missing numbers are: O, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4

What are the next three numbers? Now try this one: 3, 4.5, 6, 7.5, _____, ______, _____, ____ What is the sequence? What are the next three numbers?

The suequence is +1.5 So the next four numbers are: 3, 4.5, 6, 7.5, 9, 10.5, 12, 13.5.

Fraction seqeunces! Example: ½ , 1, 1 ½, 2, 2 ½, 3

Remember this sequence: ¼, ½, ¾, 1 Look at this example: 1¼, 1½, 1¾, 2, 2 ¼, 2 ½, 2 ¾, 3

Try these sequences: ¼, _____, ¾, _______, 1 ¼, ______. ¼, _____, ¾, _______, 1 ¼, ______. 3 ½, _____, 4, _______, 4 ½, _______. 5, 5 ¼, ______, ______, ______, _____ 4. 2 ½, 2 ¾, ______, ______, _______.