What comes next in this sequence

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Presentation transcript:

What comes next in this sequence Definition: An ordered set of numbers arranged according to a pattern What comes next in this sequence of shapes? Examples of sequences: 1,3,5,7,… 2,6,18,54,…… (pattern is- (pattern is- number odd numbers) multiplied by 3) 1, 4, 7, 10,… 10, 20, 30, 40,… (pattern is- (pattern is- number plus 3) multiples of 10) What comes next in this number sequence? 72, 63, 54, 45, 36, Sequence

Each element of a sequence is called a term. Definition: Each element of a sequence is called a term. Picture: Terms More information: What term comes next in this number sequence? 72, 63, 54, 45, 36, …….. A Number Sequence TERM OF A SEQUENCE 10, 20, 30, 40,…

the same number is added Definition: A sequence where the SAME NUMBER is added to each term to obtain the next term. More Information: Arithmetic means the same number is added to each term Example: 1,3,5,7… is an arithmetic sequence because 2 is added to each term to get the next term. 2, (+4) 6, (+4) 10, (+4) 14,…… an arithmetic sequence ARITHMETIC SEQUENCE

Definition: More information: Picture:

Definition: More information: