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Learning objectives: To find the next terms in a sequence and to find the n th term of a sequence. = 4 × 1 + 2. = 6. 1 st term. 4n + 2. = 4 × 2 + 2. = 10. 2 nd term. = 4 × 3 + 2. = 14. 3 rd term. 4 th term. = 4 × 4 + 2. = 18. 5 th term.
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Learning objectives:To find the next terms in a sequence and to find the nth term of a sequence
= 4 × 1 + 2 = 6 1st term 4n + 2 = 4 × 2 + 2 = 10 2nd term = 4 × 3 + 2 = 14 3rd term 4th term = 4 × 4 + 2 = 18 5th term = 4 × 5 + 2 = 22 6 10 14 18 22
= 5 × 1 - 4 = 1 1st term 5n - 4 = 5 × 2 - 4 = 6 2nd term = 5 × 3 - 4 = 11 3rd term 4th term = 5 × 4 - 4 = 16 5th term = 5 × 5 - 4 = 21 1 6 11 16 21
Write the first five terms of these sequences • 2n + 5 • 5n – 1 • 6n + 2 • 4n – 3 • 8n + 3 • 9n – 5 • 7n • 3n - 4 • 9 11 13 15 • 9 14 19 24 • 14 20 26 32 • 5 9 13 17 • 19 27 35 43 • 13 22 31 40 • 14 21 28 35 • -1 2 5 8 11
4 8 12 16 20 24 28 3 7 11 15 19 23 27 4 4 4 4 4 4 4n -1
7 14 21 28 35 42 49 1 8 15 22 29 36 43 7 7 7 7 7 7 7n -6
5, 7, 9, 11… 2n + 3 3n + 3 6, 9, 12, 15… STOP WRITING 4n - 3 1, 5, 9, 13… 3n + 2 5, 8, 11, 14… -4n + 16 12, 8, 4, 0…