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On your whiteboards, show me…

A sequence whose common difference is 1

A sequence whose first term is 1

A sequence whose first term is negative

A decreasing sequence n + 3 n2 + 5 1.5n 4n 2n + 1 1 – 2n 4 – 3n 3n2 10n + 1 2n - 1 6n - 4 n - 4

A sequence whose 2nd term is 8

A sequence that doesn’t have a common difference

Finding the nth term of a linear sequence 4 8 12 16 20 3 7 11 15 19 Related to 4 times tables 4 4 4 4 4n -1

Finding the nth term of a linear sequence 3 6 9 12 15 5 8 11 14 17 Related to 3 times tables 3 3 3 3 3n + 2

Finding the nth term of a linear sequence -2 -4 -6 -8 -10 15 13 11 9 7 Related to -2 times tables -2 -2 -2 -2 -2n + 17

Title: Finding sequences from nth terms In your books Title: Finding sequences from nth terms Find the first 5 terms and the 50th term of these sequences: Questions Title: Finding the nth term of linear sequences Find the nth term of these linear sequences 10, 14, 18, 22, 26, … 9, 13, 17, 21, 25, … 8, 12, 16, 20, 24, … 4, 6, 8, 10, 12, … 6, 8, 10, 12, 14, … 14, 12, 10, 8, 6, … 4n + 6 4n + 5 4n + 4 2n + 2 2n +4 - 2n + 16

Title: Finding sequences from nth terms Find the nth term of the sequence in the yellow box, then use it to find the nth terms of the other sequences. Title: Finding sequences from nth terms Find the first 5 terms and the 50th term of these sequences: Questions 12, 21, 30, 39, 48, … T(n) = ………….. 8, 14, 20, 26, 32, … T(n) = ………….. 9, 15, 21, 27, 33, … T(n) = ………….. 2, 3.5, 5, 6.5, 8, … T(n) = ………….. 4, 7, 10, 13, 16, … T(n) = ………….. 7, 13, 19, 25, 31, … T(n) = ………….. 21, 36, 51, 66, 81, … T(n) = ………….. 14, 26, 38, 50, 62, … T(n) = ………….. 20, 35, 50, 65, 80, … T(n) = …………..

Title: Finding sequences from nth terms Challenge: The sequence in the yellow box isn’t linear this time. What is the nth term for the sequence? Use your answer to find the other nth terms. Title: Finding sequences from nth terms Find the first 5 terms and the 50th term of these sequences: Questions 3, 9, 19, 33, 51, … T(n) = ………….. 2, 8, 18, 32, 50, … T(n) = ………….. 2, 5, 10, 17, 26, … T(n) = ………….. 1, 7, 17, 31, 49, … T(n) = ………….. 1, 4, 9, 16, 25, … T(n) = ………….. 4, 10, 20, 34, 52, … T(n) = ………….. -1, 2, 7, 14, 23, … T(n) = ………….. 0, 3, 8, 15, 24, … T(n) = ………….. -2, 4, 14, 28, 46, … T(n) = …………..