3.1 Sequences

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 nth term of arithmetic sequences 1, 3, 5, 7, 9, … nth term is 2n – 1 nth 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 the nth-term formula a + (n − 1)d for an arithmetic sequence

find the sum of the first n terms of an arithmetic series (Sn) e.g. given 4 + 7 + 10 + 13 + … find sum of first 50 terms