T Madas T Madas sequence 2 5 8

© T Madas

© T Madas

sequence 2, 5, 8, 11, 14, … © T Madas

2, 5, 8, 11, 14, … terms © T Madas

Te rm d 2 n rm rm Te rm 4 th Te 5 th rm 1 st Te 3 rd Te 2, 5, 8, 11, 14, … © T Madas

2, 5, 8, 11, 14, … Terms are separated by commas © T Madas

2, 5, 8, 11, 14, … More terms A sequence goes on for ever © T Madas

3, 6, 9, 12, 15, 18 __, … 25 … 5, 9, 13, 17, 21, __, 14 19, 24, 29, … 4, 9, __, 2, __, 5 8, 11, 14, __, 17 … Look at this sequence What is the missing term (number)? Describe the rule? © T Madas

Generating sequences from a rule Rule is: Term = 2 x position number Position no: 1 st 2 nd 3 rd 4 th 5 th 2, 4, 6, 8, 10, … … 10 th … … 20… © T Madas

Rule is: Term = 3 x position number – 1 Position no: 1 st 2 nd 3 rd 4 th 5 th 2, 5, 8, 11, 14, … … 10 th … … 29… Rule is: Term = 4 x position number + 1 Position no: 1 st 2 nd 3 rd 4 th 5, 9, 13, 17, 21, … … 20 th … … 81… © T Madas

Rule is: Term = 2 x position number + 3 Position no: 1 st 2 nd 3 rd 4 th 5, 7, 9, 11, 13, … … 100 th … … 203… Rule is: Term = 5 x position number – 4 Position no: 1 st 2 nd 3 rd 4 th 5 th 1, 6, 11, 16, 21, … … 30 th … … 146… © T Madas

© T Madas

Copy down the rule for each sequence. Then write down the first 6 terms of the sequence 1) T=3 xn 11) T = 7 x n 20) T = 12 x n 2) T=2 xn+1 12) T = 4 x n + 1 21) T = 7 x n + 1 3) T=3 xn– 1 13) T = 6 x n – 1 22) T = 2 x n – 4 4) T=4 xn+2 14) T = 2 x n + 8 23) T = 6 x n + 5 5) T=3 xn– 1 15) T = 3 x n – 3 24) T = 3 x n – 9 6) T=5 xn– 2 16) T = 8 x n – 5 25) T = 4 x n – 20 7) T=4 xn+3 17) T = 2 x n + 9 26) T = 2 x n + 7 8) T=6 xn– 4 18) T = 5 x n – 4 27) T = 5 x n – 50 9) T=5 xn+2 19) T = 6 x n + 7 28) T = 6 x n + 6 10) T = 7 x n – 1 20) T = 9 x n – 2 29) T = 6 x n – 30 © T Madas

© T Madas