find the 3 number in a.p whose sum and product are 6and6 respectively
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let the three numbers be a-d,a,a+d
a-d+a+a+d=6
3a=6
a=2
a(a-d)(a+d)=6
a(a²-d²)=6
2(4-d²)=6
4-d²=3
d=1 or -1
So numbers are
a-d=1
a=2
a+d=3
or
a-d=3
a=2
a+d=1
So Ap is 3,2,1 or 1,2,3.
hope it helps
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