**Today for maths room 16 went through all of the answers to a maths task we got given for homework yesterday. I finished mine last night. The maths we are doing is called algebra. Algebra means continuing patterns. I have an example of one at the bottom. Enjoy and please comment:)**

**Patterns and Sequences**

**Each group of numbers follows a pattern. Find the patterns, and for each one write down the four next numbers. Then write the rule in brackets.**

**5, 9, 13, 17, 21, 25, 29, 33... (+4)****23, 30, 37, 44, 51, 58, 65, 72 ... (+7)****4, 9, 14, 19, 24, 29, 34, 39... (+5 )****27, 23, 19, 15, 11, 7, 3 (-4 )****61, 55, 49, 43, 37, 31, 25, 19... (-6)****100, 97, 94, 91, 88, 85, 82, 78... (-3)****4, 8, 12, 16, 20, 24, 28, 32...(+4)****1, 7, 13, 19, 25, 31, 37, 43...(+6)****12, 23, 34, 45,56, 67, 78, 89... (+11)****22, 33, 44, 55, 66, 77, 88, 99... (+11)****1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5... (+0.5)****6, 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2...(-0.5)****1, 3, 6, 10, 15, 21, 27,32... (+5,6,7,8..)****0, 2, 6, 12, 20, 30, 42, 56... (+2,4,6,8...)****1, 2, 4, 7,11,16, 22, 28...(+123456..)****5, 6, 8, 11, 15, 20, 26, 31, 39...(+1,2,3,4...)****4, 6, 9, 13, 18, 24, 31, 39... ( 2,3,4,5,6...)****1, 4, 9, 16, 25, 36, 49, 64... (+3 then 2... 1+3 is 4, 4+5 is 9, 9+7 is 16...)****4, 6, 10, 16, 24, 34, 46, 60, 76... (+2..2,4,6,8...)****3, 6, 11, 18, 27, 38, 51, 66... (+3... 3+3 is 6 6+5 is 11... 3, +3 6, 7 +2 , 9 +2, 11, 13 (+2 15 )****1, 2, 5, 6, 9, 10, 13, 14, 17, 18... ( 1’s and 3’s... 1+1 is 2, 2+3 is 5, 5+1 is 6...)****1, 2, 4, 5, 7, 8, 10, 11, 13, 15, 16, 18... (+ing 1’s and 2’s..10+1 is 11,11+2 is 13,13+2 is 15)****1, 3, 10, 12, 19, 21, 28, 30, 37, 39...... ( +ing 2’s and 7’s.. 21+7 is 28 and 28+2 is 30...)****58, 56, 55, 53, 52, 50, 49, 47, 46, 44... (-2 and 1)****1, 2, 4, 8, 16, 32, 64, 128... ( 1+1, 2+2, 3+3, 4+4...)****65, 58, 54, 47, 43, 36****1, 2, 4, 8, 16, 32, 64, 128... ( 1+1, 2+2, 3+3, 4+4...)****128, 64, 32, 16, 8, 4, ,2 ,1... ( 1,2,4,8,16,32,64,128...)****7, 14, 28, 56, 112, 224, 448...( 7+7, 14+14 is 28, 28+28 is 56... )**

**The hard one:**

**8, 10, 9, 11, 10, 12, 11, 13, 12, 14, 13... ( -1 and +2... 12-1 is 11, 11+2 is 13...)**

Awesome work Hemnai.

ReplyDeleteYour maths are awesome.

Well done on getting them done.

Keep up the great work.

Awesome Hemani

ReplyDeleteI like how you put your working out in

Keep up the good work

Well done

Wow Hemani your maths is looking good. Wow done I can not believe that you got all of them right. Keep up the cool maths Hemani

ReplyDeleteWow Hemani,

ReplyDeleteGreat post.

You are really good at maths.

Good work on getting them all right.

Keep up the great work Hemani.

Well done:)

Wow Hemani you did an awesome job on it and I think you are the best at it Keep up the amazing work.

ReplyDeleteAwesome! Hemani!!!

ReplyDeleteyou are doing well with your maths

Keep it up

Wow Hemani.

ReplyDeleteGreat job good to see you finish them.

the last one was supposed to be hard but

I don't reckon it was hard.

Great job.