in an a.p. s3=6, s6=3, then it's common difference is
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Sn=n/2{2a+(n-1)d}
According to the question,
6=3/2{2a+(3-1)d}
12=3(2a+2d)
4=2a+2d. Divided by 2
a+d=4
a=4-d
3=6/2{2a+(6-1)d}
3=3(2a+5d)
1=2a+5d
1=2(4-d)+5d
1=8-2d +5d
1=8+3d
8+3d=1
3d=1-8
3d= - 7
d=-7/3
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