Sequences

Sequences

Sequences Vocabulary

• sequence - an ordered list of numbers

• term - each number in a sequence

• arithmetic sequence - each term is found by adding the same number to the previous term

In an arithmetic sequence...

• the terms can be whole numbers, fractions or decimals

• 
  

• 
  

Describe the relationship between the terms in the arithmetic sequence 8, 13, 18, 23, ... . The write the next THREE terms in the sequence.

• Continue the pattern to find the next THREE terms

• The pattern is +5

• The next THREE terms are - 38, 33 & 38

Describe the relationship between the terms in the arithmetic sequence 0.4, 0.6, 0.8, 1.0, ... . The write the next THREE terms in the sequence.

• Continue the pattern to find the next THREE terms

• The pattern is +0.2

• The next THREE terms are - 1.2, 1.4 & 1.6

Open Ended

Describe the relationship in the arithmetic sequence...

0, 13, 26, 39, ...

Open Ended

The next THREE terms in the sequence 0, 13, 26, 39, ... are

Open Ended

Describe the relationship between terms in each arithmetic sequence 1.0, 1.3, 1.6, 1.9, ...

Open Ended

The next THREE terms in the sequence 1.0, 1.3, 1.6, 1.9 are

You can also write an algebraic expression to represent the relationship between any term in a sequence and its position in the sequence. In this case, if n represents the position in the sequence, the value of the term is 2n.