Quantos numeros inteiros existem, de 100 a 500, que são divisiveis por 8?
Soluções para a tarefa
Respondido por
8
Boa tarde Ana!
Solução!
O numero inteiros e divisivel por 8 pode ser encontrado usando uma progressão aritmetica.
![P.A:\{100.....112,................,496,.......500\}\\\\\\
am=496\\\\
ai=112\\\\
n=?\\\\\
r=8\\\\\\\\
an=a1+(n-1).r\\\\\\
496=112+(n-1).8\\\\\
496=112+8n-8\\\\\
496=104+8n\\\\\
496-104=8n\\\\\
392=8n\\\\\\
n= \dfrac{392}{8} \\\\\\\
n=49](https://tex.z-dn.net/?f=P.A%3A%5C%7B100.....112%2C................%2C496%2C.......500%5C%7D%5C%5C%5C%5C%5C%5C%0Aam%3D496%5C%5C%5C%5C%0Aai%3D112%5C%5C%5C%5C%0An%3D%3F%5C%5C%5C%5C%5C%0Ar%3D8%5C%5C%5C%5C%5C%5C%5C%5C%0Aan%3Da1%2B%28n-1%29.r%5C%5C%5C%5C%5C%5C%0A496%3D112%2B%28n-1%29.8%5C%5C%5C%5C%5C%0A496%3D112%2B8n-8%5C%5C%5C%5C%5C%0A496%3D104%2B8n%5C%5C%5C%5C%5C%0A496-104%3D8n%5C%5C%5C%5C%5C%0A392%3D8n%5C%5C%5C%5C%5C%5C%0An%3D+%5Cdfrac%7B392%7D%7B8%7D+%5C%5C%5C%5C%5C%5C%5C%0An%3D49%0A%0A "P.A:\{100.....112,................,496,.......500\}\\\\\\
am=496\\\\
ai=112\\\\
n=?\\\\\
r=8\\\\\\\\
an=a1+(n-1).r\\\\\\
496=112+(n-1).8\\\\\
496=112+8n-8\\\\\
496=104+8n\\\\\
496-104=8n\\\\\
392=8n\\\\\\
n= \dfrac{392}{8} \\\\\\\
n=49")
Boa tarde!
Bons estudos!
Solução!
O numero inteiros e divisivel por 8 pode ser encontrado usando uma progressão aritmetica.
Boa tarde!
Bons estudos!
Perguntas interessantes