# Class 4 Fun with Patterns Worksheet 2

1.Look for the rules and complete the following patterns.

(a) 52, 57, 62, 67, 72 , 77 ,82, 87

Explanation: Difference between Term 1 and Term 2 =57-52=5

Difference between Term 2 and Term 3= 62-57=5 and so on ,

clearly, a pattern is there where each term is previous term plus five.

So 67+5=72 , 72+5=77 and so on

(b) 1, 3, 5, 7, 9, 11, 13 ,15

Explanation: Difference between Term 2 and Term 1 =3-1=2

Difference between Term 3 and Term 2= 5-3=2 and so on

clearly, a pattern is there where each term is the previous term plus two.

So 7+2=9 , 9+2=11 , 11+2=13 , 13+2=15

(c) 30, 27, 24, 21, 18 , 15 , 12 ,9

Explanation: Difference between Term 1 and Term 2 =30-27=3

Difference between Term 2 and Term 3= 27-24=3 and so on

clearly, a pattern is there where difference between consecutive term is three.

So 21-3=18 , 18-3=15, 15-3=12 ,12-3=9

(d) 100, 90, 80, 70, 60 ,50 ,40,30

Clearly, a pattern is there where the difference between consecutive terms is 10.

(e) 1, 3, 7, 13,21,31,43,57

Term 2-Term 1=3-1 =2

Term 3-Term 2=7-3 =4

Term 4-Term 3=13-7=6

The difference between consecutive terms is increasing by 2.

So Term 5- Term 4 should be 8, Term 6- Term 5 should be 10, Term 7- Term 6 should be 12 and so on the series will go on.

(f) 11, 22, 33, 44, 55 ,66 77 ,88

Clearly series is multiple of 11 with the first term is 11

(g) 2, 4, 8, 16, 32, 64, 128, 256,512

Clearly, each term in the series is twice the previous term.

So 32*2=64 ,64*2=128 ,128*2=256 and 256*2=512

(h) 99, 101, 103, 105, 107 , 109,111 ,113

Clearly, there is a pattern in the series, where the difference between consecutive terms is 2.

So 105+2=107, 107+2=109 , 109+2 =111 ,111+2=113

(i) 9, 109, 209, 309, 409,509,609

Clearly, there is a pattern in the series, where the difference between consecutive terms is 100.

(j) 586, 686, 786, 886 ,996,1086,1186

Clearly, there is a pattern in the series, where the difference between consecutive terms is 100.