(Conjunto) Alguém consegue solucionar e me ajudar?
Anexos:
Soluções para a tarefa
Respondido por
0
Alternativa C { x ∈ IN | x=5 * 2^{n-1}, n ∈ IN*, onde IN*={1,2,3,4,5,6,7...}, vejamos:
![\begin{cases}x=5*2 ^{1-1}~\to~x=5*2 ^{0}~\to~x=5*1~\to~x=5\\
x=5*2 ^{2-1}~\to~x=5*2 ^{1}~\to~x=5*2~\to~x=10\\
x=5*2 ^{3-1}~\to~x=5*2 ^{2}~\to~x=5*4~\to~x=20\\
x=5*2 ^{4-1}~\to~x=5*2 ^{3}~\to~x=5*8~\to~x=40\\
x=5*2 ^{5-1}~\to~x=5*2 ^{4}~\to~x=5*16\to~x=80
\end{cases}\\
~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.\\\
~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.\\\
~~~~x _{n}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dx%3D5%2A2+%5E%7B1-1%7D%7E%5Cto%7Ex%3D5%2A2+%5E%7B0%7D%7E%5Cto%7Ex%3D5%2A1%7E%5Cto%7Ex%3D5%5C%5C%0Ax%3D5%2A2+%5E%7B2-1%7D%7E%5Cto%7Ex%3D5%2A2+%5E%7B1%7D%7E%5Cto%7Ex%3D5%2A2%7E%5Cto%7Ex%3D10%5C%5C%0Ax%3D5%2A2+%5E%7B3-1%7D%7E%5Cto%7Ex%3D5%2A2+%5E%7B2%7D%7E%5Cto%7Ex%3D5%2A4%7E%5Cto%7Ex%3D20%5C%5C%0Ax%3D5%2A2+%5E%7B4-1%7D%7E%5Cto%7Ex%3D5%2A2+%5E%7B3%7D%7E%5Cto%7Ex%3D5%2A8%7E%5Cto%7Ex%3D40%5C%5C%0Ax%3D5%2A2+%5E%7B5-1%7D%7E%5Cto%7Ex%3D5%2A2+%5E%7B4%7D%7E%5Cto%7Ex%3D5%2A16%5Cto%7Ex%3D80%0A+++%5Cend%7Bcases%7D%5C%5C%0A%7E%7E%7E%7E.%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E.%5C%5C%5C%0A%7E%7E%7E%7E.%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E.%5C%5C%5C%0A%7E%7E%7E%7Ex+_%7Bn%7D%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E++ "\begin{cases}x=5*2 ^{1-1}~\to~x=5*2 ^{0}~\to~x=5*1~\to~x=5\\
x=5*2 ^{2-1}~\to~x=5*2 ^{1}~\to~x=5*2~\to~x=10\\
x=5*2 ^{3-1}~\to~x=5*2 ^{2}~\to~x=5*4~\to~x=20\\
x=5*2 ^{4-1}~\to~x=5*2 ^{3}~\to~x=5*8~\to~x=40\\
x=5*2 ^{5-1}~\to~x=5*2 ^{4}~\to~x=5*16\to~x=80
\end{cases}\\
~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.\\\
~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.\\\
~~~~x _{n}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~")
Espero ter ajudado e tenha ótimos estudos XD
Espero ter ajudado e tenha ótimos estudos XD
Perguntas interessantes