Salutare!
Numere consecutive inseamna unul dupa altul, adica 1,2,3....sau 99,100,101
Numere consecutive pare insemna ca merg din doi in doi (6,8,10.....sau 200, 202, 204.....)
Notam cu:
a - primul numar par
a + 2 - al doilea numar par
a + 4 - al treilea numar par
a + 6 - al patrulea numar par
a + 8 - al cincilea numar par
a + 10 - al saselea numar par
a + 12 - al saptelea numar par
[tex]\bf a + a + 12 = 56[/tex]
[tex]\bf 2a + 12 = 56[/tex]
[tex]\bf 2a = 56 -12[/tex]
[tex]\bf 2a = 44\:\:\Big|:2\:\: \text{(\it impartim toata relatia cu 2)}[/tex]
[tex]\boxed{\bf a = 22 \:\:\: \text{\bf primul numar par}}[/tex]
[tex]\bf a+2 = 22 + 2 \implies\boxed{\bf 24 \:\:\: \text{\bf al doilea numar par}}[/tex]
[tex]\bf a+4 = 22 + 4 \implies\boxed{\bf 26 \:\:\: \text{\bf al treilea numar par}}[/tex]
[tex]\bf a+6 = 22 + 6 \implies\boxed{\bf 28 \:\:\: \text{\bf al patrulea numar par}}[/tex]
[tex]\bf a+8 = 22 + 8 \implies\boxed{\bf 30 \:\:\: \text{\bf al cincilea numar par}}[/tex]
[tex]\bf a+10 = 22 + 10 \implies\boxed{\bf 32 \:\:\: \text{\bf al saselea numar par}}[/tex]
[tex]\bf a+12 = 22 + 12 \implies\boxed{\bf 34 \:\:\: \text{\bf al saptelea numar par}}[/tex]
[tex]\bf Suma: 22 +24+26+28+30+32 +34 = 196[/tex]
==pav38==
