👤

16. Suma a patru numere impare consecutive este 24. Să se afle numerele. Ajutațimă​

Răspuns :

Răspuns:

fie 2k+1,2k+3,2k+5,2k+7 cele 4 numere impare consecutive

suma=8k+16=24

8k=24-16=8

k=1

numerele sunt inlocuind pe k

3,5,7,9

nr.impar=se termina cu 1,3,5,7,9

Răspuns:

[tex]/.../\\\\/.../.+2./\\\\/.../.+4./\\\\/.../.+6./\\---------------\\24-suma\\\\2+4+6=12-segm.egale\\\\12:4=3\\\\3+2=5\\\\5+2=7\\\\7+2=9\\\\nr.sunt:3,5,7,9\\\\\\[/tex]

[tex]a+a+2+a+4+a+6=24\\\\4a=24-12\\\\a=12:4= > a=3\\\\3+2=5\\\\3+4=7\\\\3+6=9[/tex]