Sequences and recurrence relations
Chapter 3.1 - 3.4
Chapter 3.1 - 3.4
Use a first order (linear) recurrence relation to generate the terms of a sequence.
know what a sequence is
know what a first-order recurrence relation is
generate the terms of a first-order recurrence relation
recognise arithmetic sequences and the evaluation of an arithmetic and geometric sequence
Prior Knowledge:
Number patterns, writing a rule
Key Vocabulary:
recurence relation
recursion
term
sequence
first order recurrence relation
term (initial, previous, current, next)
current
initial value
subscript
Ex 3.1 all (general sequences)
Ex 3.2 all (arithmetic sequence)
Ex 3.3 Qu 1 - 9, 12-14, 19 (geometric sequences)
Ex 3.4 Qu 1, 2, 4 , 5, 10 - 12, 14 (arithmetic series and geometric)
Chapter 3 practice questions 1, 3, 4, 6, 7, 8, 9-13, 15, 17- 25, 27, 30, 31, 34, 36, 37- 39