Draw a 1 cm square Now draw a 2 cm square to touch the first at a corner only Finally draw
a �border� that produces a 3 cm square : Write in the
dimensions of each sector of your diagram This seems
to indicate that : 3 � = ( 1 + 2 )� = 1� + 2� + 2 lots of ( �.2� ) = 1.1� + 2. 2� = 13 + 23 i.e.
13 + 23
= ( 1 + 2 )� Draw some
larger versions of this diagram, and see whether you have a general result. Use your
formula to predict the value of 13 + 23 + 43 +
53 ... + 103 Open the File as a Word Document
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