Question

) 5+12+19+26+33+...+705 suma lui Gauss va rog repede​

Answer 1

Suma lui Gauss:

$1+2+3+...+n=n(n+1):2$

5+12+19+26+33+...+705

5+5+7+7×2+5+7×3+5+7×4+5+...+7×100+5

5 ne apare de (705-5):7+1=101 ori

Dam factor comun pe 7 si obtinem:

5×101+7(1+2+3+...+100)=

505+7×100×101:2=

505+35 350=35 855

Un alt exercitiu gasesti aici: https://brainly.ro/tema/2028243

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