Sequences Learning Outcomes  I can Find the n th term for sequences.  I can use different methods to find the nth term and explore sequences  I can.

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Sequences Learning Outcomes  I can Find the n th term for sequences.  I can use different methods to find the nth term and explore sequences  I can understand the role of counter examples in the context of rules for sequences and disproving hypotheses

Sequences The nth term of a sequence 1)Consider the sequence developed by linear function a)y = 2x + 1 x12345 y b) y = 3x + 1 x12345 y c) y = mx + 1 x12345 y

Sequences Linear functions The nth term of a sequence 1)Consider the sequence developed by linear function a)y = 2x + 1 x12345 y b) y = 3x + 1 c) y = mx + 1 ∴ with linear function the first difference is constant

Sequences Linear / Quadratic functions 4nnTndifference Linear n2n2 nTn1 st diff2 nd diff Quadratic Tn = 4n Tn = n nd diff = 2 → n 2 = 4 → 2n 2 = 6 → 3n 2

Sequences Sequences of the form an 2 + bn + c nTn1 st diff2 nd diff The nth term of a sequence

Sequences Additional Notes

Sequences Learning Outcomes: At the end of the topic I will be able to Can Revise Do Further        I can Find the n th term for sequences.  I can use different methods to find the nth term and explore sequences  I can understand the role of counter examples in the context of rules for sequences and disproving hypotheses