24.已知首项为1的数列{an}\{a_{n}\}{an}满足an+1=5an−3a_{n+1}=5a_{n}-3an+1=5an−3,则an=a_{n}=an=___34+14×5n−1\frac{3}{4}+\frac{1}{4}\times {5^{n-1}}43+41×5n−1___.