Răspuns:
Explicație pas cu pas:
(1+2+...+10 434): 10 435
= 10 434*10 435 : 2 : 10 435 = 10 434 : 2 = 5 217
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(1+2+ ... + 300): 903
= 300*301 : 2 : 903 = 300 : 2 : 3 = 150 : 3 = 50
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(2 + 4 + ... +200): [(4 + 8 + ... + 100): 13)
2 + 4 + ... +200 = 2*(1 + 2 + ... + 100) = 2*100*101 : 2 = 100*101
4 + 8 + ... + 100 = 4*(1 + 2 + ... + 25) = 4*25*26 : 2 = 100*26 : 2 = 50*26
50*26 : 13 = 50*2 = 100
100*101 : 100 = 101
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(8 + 16 + ... +344):(4+8+ ... +172).
8 + 16 + ... +344 = 8*(1 + 2 + ... + 43) = 8*43*44 : 2 = 4*43*44
4+8+ ... +172 = 4*(1 + 2 + ... + 43) = 4*43*44 : 2 = 2*43*44
4*43*44 : 2*43*44 = 4 : 2 = 2
