generate terms of a sequence using term-to-term and position-to-term definitions of the sequence

Including odd, even, squares, multiples and powers

find subsequent terms of an integer sequence and the rule for generating it

5, 9, 13, 17, ... (add 4)

1, 2, 4, 8, ... (multiply by 2)

use linear expressions to describe the \(n\)th term of arithmetic sequences

1, 3, 5, 7, 9, ... \(n\)th term is \(2n - 1\)

\(n\)th term is \(4n + 3\), write down the first 3 terms of the sequence

understand and use common difference (\(d\)) and first term (\(a\)) in an arithmetic sequence

e.g. given 2nd term is 7 and 5th term is 19, find \(a\) and \(d\)

know and use \(n\)th term \(= a + (n-1)d\)

find the sum of the first \(n\) terms of an arithmetic series (\(S_n\))

e.g. given 4 + 7 + 10 + 13 + ... find sum of first 50 terms