SECTION FOUR SEQUENCES, FUNCTIONS AND GRAPHS 57
Sequences
Q1 For each of the sequences below, write down the next three numbers and the rule that you used. a) 1, 3, 5, 7,... b) 2, 4, 8, 16,... c) 3, 30, 300, 3000,... d) 3, 7, 11, 15,... e) 19, 14, 9, 4, -1,...
\1\ Once you've worked out the -- =next numbers, go back and write-= down exactly what you did - that will be the rule you're after.:::: ///if 1111111111H Il¦\\
Q2 For the following, use the rule given to generate the first 5 terms of the sequence.
a) 3n + 1, when n = 1 , 2, 3, 4 and 5. b) 5n - 2, when n = 1, 2, 3, 4 and 5. c) n2, when n= 1, 2, 3, 4 and 5. d) n2- 3, when n = 1, 2, 3, 4 and 5.
Q3 10, 20, 15, 171/2, 161/4... a) Write down the next 4 terms. b) Explain how you would work out the 10th term.
Write down an expression for the nth term of the following sequences: a) 2, 4, 6, 8, ... b) 1, 3, 5, 7, ... c) 5, 1 0, 15, 20, ... d) 5, 8, 11, 14, ...
SECTION FOUR - SEQUENCES, FUNCTIONS AND GRAPHS