n mũ 2 +n+4 chia hết n+1
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\(\left(27+11\right)\cdot\left(512-\left[14\cdot\left(64-4^2\right):2\right]\right)\\ =33\cdot\left[512-\left[14\cdot\left(64-16\right):2\right]\right]\\ =33\cdot\left(512-14\cdot48:2\right)\\ =33\cdot\left(512-14\cdot24\right)\\ =33\cdot\left(512-336\right)\\ =33\cdot176\\ =5808\)
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\(-4\notin N\\ -\dfrac{5}{3}\in Q\\ -8\in Q\\ -\dfrac{2}{9}\notin Z\\ -\dfrac{1}{11}\notin Z\\ -\dfrac{2}{7}\in Q\\ -\dfrac{2}{19}\notin N\\ N\subset Q\)
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\(-3\notin N\)
\(\dfrac{-1}{2}\in Q\)
\(\dfrac{7}{9}\in Q\)
\(N\subset Z\subset Q\)
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\(C=\dfrac{9}{1\cdot2}+\dfrac{9}{2\cdot3}+...+\dfrac{9}{44\cdot45}\)
\(=9\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{44\cdot45}\right)\)
\(=9\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{44}-\dfrac{1}{45}\right)\)
\(=9\left(1-\dfrac{1}{45}\right)=9\cdot\dfrac{44}{45}=\dfrac{44}{5}\)
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a: \(11\in N;11\in Q;11\in Z\)
b: \(-26\in Q;-26\in Z\)
c: \(\dfrac{1}{5}\in Q\)
d: \(-\dfrac{3}{4}\in Q\)
`n^2+n+4` chia hết cho n + 1
`=>(n^2+n) +4` chia hết cho n + 1
`=> n(n+1)+4` chia hết cho n + 1
Mà: `n(n+1)` chia hết cho n + 1
=> 4 chia hết cho n + 1
=> n + 1 ∈ Ư(4) = {1; -1; 2; -2; 4; -4}
=> n ∈ {0; -2; 1; -3; 3; -5}