#3.1A
generate terms of a sequence using term-to-term and position-to-term definitions of the sequence
Including odd, even, squares, multiples and powers
#3.1B
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)
#3.1C
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
#3.1D
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 \(d\)
#3.1E
know and use \(n\)th term \(= a + (n-1)d\)
#3.1F
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