the sum of 3 consecutive terms of an ap is 9 and their product is-48 find the terms
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Let the numbers be a-d, a and a+d
It is given (a-d)+a+(a+d)=9
3a=9
a=3
It is given
(a-d)a(a+d)=-48
a(a^2-d^2)=-48
3(9-d^2)=-48
9-d^2=-16
d^2=25
d=5
So the terms are
-2, 3 and 8
d could be -5 also. But then sum would not be positive.
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