Unit 2: Sequences, expressions an formulae

The fifth term of a sequence is 23. The term-to-term rule is 'add 4'. Work out the first term of the sequence.

• 7

• 14

Write down the first three terms of each sequence.

First term: -10

(term-to-term rule: 'add 20')

• -10, -30, -40

• -10, 10, 30

25, 26, 27, 28, ..., ...

Work out the position-to-term for the sequence of numbers.

• Position number + 24

• Position number + 23

Work out the first three terms and the 10th term of the sequences with the      $n$ th term given.
 $2n+4$  

• 1, 4, 7; 28

• 6, 8, 10; 24

The  $n$ th term of a sequence is  $2n-1$ . Work out the first three terms and the ninth term of the sequence.

• 1, 3, 5; 17

• 5, 7, 9; 18

a. $3x-7$  when $x=-5$  
b.  $\frac{x}{4}-10\$  when $x=20$  
c.  $\frac{x}{2}+\frac{y}{10}$  when $x=30$  and  $y=-30$  

• a.  $-22$  
  b.  $-5$  
  c. $12$  

• a.  $-22$  
  
  b.  $5$  
  
  c. $13$  

Work out the value of the expression:
a.  $a^2-6$  when  $a=4$  
b.  $5n^{3\ }$  when  $n=-2$  

• a.  $10$  
  b.  $-40$  

• a.  $10$  
  b.  $-39$  

Find the n^th term of the following sequence...

5, 9, 13, 17...

• 4n + 1

• n + 4

• 4n -1

• n - 4

Find the n^th term of the following sequence...

8, 13, 18, 23...

• 5n + 3

• n + 5

• 3n + 5

• n + 3

Find the n^th term of the following sequence...

2, 5, 8, 11...

• 3n - 1

• n + 3

• 3n + 1

• n - 1