let an be the units place of 1^2+2^2+3^2+.........+n^2 prove that the decimal 0.a1a2a3.....an is a rational number and represent it has P/Q form. where p and Q are natural numbers
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Unit places will repeat a pattern after 10
From 1 to 10
1 , 4 , 9 , 6 , 5 , 4 , 9 , 4 , 1 , 0 , 1 , 4.....
Now your decimal of course can be written a P/Q
Form just remove decimal and divide 10^n .
Now let
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