(1)∵等差数列{an}中,a10=18,S5=-15,∴a1+9d=18,5a1+10d=-15,解得a1=-9,d=3,∴an=3n-12.(2)∵a1=-9,d=3,an=3n-12,∴Sn= n 2 (a1+an)= 1 2 (3n2-21n)= 3 2 (n? 7 2 )2? 147 8 ,∴当n=3或4时,前n项的和Sn取得最小值S3=S4=-18.