Mathematics Grade 6:Patterns and Algebra1

Patterns and algebra

1. Patterns and Algebra

2. Drill : Skip count by 4, by 6, by 7 and by 9.

3. 3, 7, 11, 15,………. SOLUTION, 3 1 st term 3+4 2 nd term 3+4, +4 3 rd term 3+4, +4, +4 4 th term Therefore, the rule is +4 or to find the nth terms the formula is 3+4(n-1)

4. +7 +6 +10 +7 +1.2 +8 +(-1) or -1 +(-1) or -1 +.3 +(-14) or -14

5. Give the rule and 7th term in each of the ff. sequence 1.5,12,19,26, ……. 2.2,10,18,26, …… 3. 2,10,50,250,…… 4. 305,296,287,278, …… 5. 6,21,36,51, ……….. 47 50 31250 251 96 +7 or 5+7(n-1) +8 or 2+8(n-1) x5 or 2x5^(n-1) -9 or 305-9(n-1) +15 or 6+15(n-1)

6. Write down the next two terms in each sequence 7,8,9,___,____ 12. 24,36,48,____,_____ 80,72,64,___,___ 13. -8,-9,-10,___,_____ 1,2,3,____,____ 14. 1500,1400,1300,___,___ 20,16,12,___,___ 15. 77,73,69,65,____,______ 18,26,34,____,____ 16. 0.2, 0.6, 0.8,_____,______ 4,9,16,25,____,_____ 17. -3,-2,-1,_____,______ 8,28,48,____,____ 18. 63,72,81,____,______ 2,4,8,____,_____ 19. 1,8,27,___,____ 3,5,8,13,_____,_____ 20. 144,169,196,____,_____ 17,19,23,_____,_____ 3,5,7,_____,_______ 10 5 56 48 11 4 8 4 42 50 36 49 68 88 16 32 21 34 29 37 9 11 60 72 -11 -12 1200 1100 61 57 1.4 2.2 1 90 99 64 125 225 256