Mathematics, 29.06.2019 19:20 BustD0wnAnt
He first three towers in a sequence are shown. the $n^\text{th}$ tower is formed by stacking $n$ blocks on top of an $n \times n$ square of blocks. how many blocks are in the 99th tower? [asy] pair a; for(int i = 1; i< 4; ++i){ a = ((i-1)*(i+4)/2,0); for(int k = 0; k < = i; ++k){ draw(a+(k,+(k, i)); draw(a+(0,+(i, k)); draw(a+(i-1,i++(i, i+k)); } draw(a+(i-1,+(i-1,2*i)); draw(a+(i,+(i,2*i)); } label("1", (1-1/2,0),s); label("2", 5/2 + (2-1/2,0),s); label("3", 6 + (3-1/2,0),s); [/asy]
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He first three towers in a sequence are shown. the $n^\text{th}$ tower is formed by stacking $n$ blo...
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