Question

The sum of three numbers in ap is 3 and their products is -35. find the number

Answer 1

Let the numbers are a-d, a and a+d

Sum = 3
3a = 3
a = 3/3 = 1

-35 = -5×7×1

The numbers are -5, 1, 7

Answer 2

Let the numbers be a,a-d,a+d
Sum of them=a-d+a+d+a
3=3a
a=1
So terms are 1,1-d,1+d
Now product of them=a×a-d×a+d
-35=a*3-ad*2
-35=1-d*2
d*2=36
d=6
So terms are
1,7,-5