\((1)\)在\((1-x)^{6}·(2-x)\)的展开式中含\(x^{3}\)的项系数是的________．
\((2)\)已知数列\(\{a_{n}\}\)满足\(a_{1}=15\)，\(\dfrac{{{a}_{n+1}}-{{a}_{n}}}{n}=2\)，则\(\dfrac{{{a}_{n}}}{n}\)的最小值为________．
\((4)\)已知正方体\(ABCD-A_{1}B_{1}C_{1}D_{1}\)的棱长为\(1\)，点\(E\)是线段\(B_{1}C\)的中点，则三棱锥\(A-DED_{1}\)外接球体积为________．
\((5)F\)是双曲线\(C:{{x}^{2}}-\dfrac{{{y}^{2}}}{4}=1\)的右焦点，\(C\)的右支上一点\(P\)到一条渐近线的距离为\(2\)，在另一条渐近线上有一点\(Q\)满足\(\overrightarrow{FP}=\lambda \overrightarrow{PQ}\)，则\(λ=\)________．