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suma lui gauss (4+8+12+16+..+4000):(2+4+6+8+...+2000)+(2011+37):2^10

Răspuns :

[tex](4 + 8 + 12 + 16 + ... + 4000) \div (2 + 4 + 6 + 8 + ... + 2000) + (2011 + 37) \div {2}^{10} [/tex]

[tex] = [4(1 + 2 + 3 + 4 + ... + 1000)] \div [2(1 + 2 + 3 + 4 + ... + 1000)] + 2048 \div {2}^{10} [/tex]

[tex] = (4 \div 2)[(1 + 2 + 3 + 4 + ... + 1000) \div (1 + 2 + 3 +4+ ... + 1000)] + {2}^{11} \div {2}^{10} [/tex]

[tex] = 2 \times 1 + {2}^{11 - 10} [/tex]

[tex] = 2 + {2}^{1} [/tex]

[tex] = 2 + 2[/tex]

[tex] = 4[/tex]