Look back in your books to this table.

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Presentation transcript:

Look back in your books to this table. 6 11 16 21 5n + 1 501 We can consider the sequence without the table or the context.

The ‘term to term’ rule is ‘add 5’ 6 11 16 21… 5n + 1… 501… The ‘nth term’ is 5n + 1. We can use the nth term to generate sequences

On your whiteboards: Find the first five terms of the following sequences: T(n) = 2n + 3 T(n) = 2n - 5 T(n) = 1 – 2n What do you notice about the sequences?

On your whiteboards: Find the 50th term of: T(n) = 2n + 3

On your whiteboards: Does the number 72 appear in any of the sequences below? T(n) = 2n + 3 T(n) = 2n - 5 T(n) = 1 – 2n Can you alter one aspect of the nth terms above which would mean that 72 would appear in the sequence?

Sequence Search Find the first 5 terms of the sequences in the table. Find them in the sequences search. Afterwards, using the code A=1, B=2, C=3 etc on the far left, the unused numbers will form a message reading left to right along each row starting with the first row.

On your whiteboards: Find the first five terms of the following sequences T(n) = n2 + 3 T(n) = 2n2 + 3 T(n) = 3n3 + 3 How do these sequences differ to the earlier sequences?