Question

(5+10+15+...+2005+2010):(1+2+3+...+400+401+402) va rog ajutatima dau corana

Answer 1

Răspuns:

Explicație pas cu pas:

( 5 + 10 + 15 + ...... + 2005 + 2010 ) : ( 1 + 2 + 3 + ..... + 401 + 402 ) = 5

= 5 × ( 1 + 2 + 3 + .... + 401 + 402 ) : ( 1 + 2 + 3 + ..... + 401 + 402 ) =

= 5

___________________________________________________

Sau efectuand calculele, aplicand formula sumei lui Gauss

( 5 + 10 + 15 + ...... + 2005 + 2010 ) : ( 1 + 2 + 3 + ..... + 401 + 402 ) = 5

= 5 × ( 1 + 2 + 3 + .... + 401 + 402 ) : ( 1 + 2 + 3 + ..... + 401 + 402 ) =

= 5 × ( 402 × 403 : 2 ) : ( 402 × 403 : 2 ) =

= 5 × ( 201 × 403 ) : ( 201 × 403 ) =

= 5 × 81 003 : 81 003 =

= 5

Answer 2

5×(81003÷81003)=5×1=5