Gavin makes a recurring pattern from the letters in his name.
After how many letters would the 14th 'N' appear?
What would be the 18th letter in this pattern?
What would be the 470th letter in this pattern?
Topics: Starter  LCM  Number
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=October24 However it would be better to assign one of the student interactive activities below. 

Repeating sequences can be easily created by dragging a selected range of cells in Excel. If everyone in the class created a repeating sequence from the letters in their first names, at what letter position (nth term formula) would everyone in the class have the first letter of their names (after the first position of course!)
Here is the URL which will take them to a related activity.
See the National Curriculum page for links to related online activities and resources.