求几道关于三角函数、等比数列的数学题,
1.已知函数f(x)=4cosxsin(x+π/6)-1.
求:f(x)的最小正周期;求f(x)在区间【-π/6,π/4】的最大值与最小值.
2.设{An}是公比不为一的等比数列,其前n项和为Sn,且a5,a3,a4成等差数列.
求:公比.证明:对任意k∈N+,Sk+2,Sk,Sk+1成等差数列.