Question

sum of three numbers in A.P is 3 and their product is -35 find the no

Answer 1

$\text{Let (a - d), a , (a + d) are three terms in AP}\\\text{sum of these three terms}=3\\(a-d)+a+(a+d)=3\\3a=3\rightarrow a = 1$
$\text{again,}\\\text{product of theses three terms } = (a-d)a(a+d)=-35\\a^3-ad^2=-35\\1-d^2=-35\\d^2=36 \\ d = \pm6$
so, three terms are -5 , 1 , 7 or, 7, 1 , -5

$\text{hence, answer is}\:\boxed{\boxed{\bold{-5,1,7, or, 7,1,-5}}}$