2 plus 2 plus n equals 6 n equaling 2
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n/2 + 6 = n/3 so 6 = n/3 - n/2 = 2n/6 - 3n/6 = -n/6 and so n = -36
(n/2) times (n + 1) eg for first 6 integers n = 6 and you have 6/2 x 6 + 1 = 3 x 7 = 21 which is correct.
3n+6=18 n+2=6 n=4
t(n) = (n+1)*(n+2)/2 where n = 1 ,2, 3, ...