n Learning and Teaching Mathematics - Number patterns, cautionary tales and finite differences

Volume 2006, Issue 3
  • ISSN : 1990-6811


I recently included the following question in a scholarship examination for Grade 7 pupils :

Consider the following number pattern in which only the first two numbers have been given : 4 ; 8 ; __ ; __ ; __ ; . . .
Create three different number patterns (each starting with 4 ; 8) by writing out the next three numbers.
In each case explain the rule that controls your number pattern.

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