the sum of 3 numbers in arithmetic progression is -3 and their product is 8. Find the numbers
Answers
Answered by
1
the numbers are -4,2,-1
proof
-4+2-1=-3
-4×2×-1=8
proof
-4+2-1=-3
-4×2×-1=8
Answered by
3
let the 1st no. =a
2nd no. =a+d
3rd no. a+2d
As per question
a+a+d+a+2d = -3
a+d=-1
a= -1-d
And a*(a+d) *(a+2d) = 8
(1+d)*(d-1)=8
d=±3
a= -4or2
Hence the no. are - 4, - 1, 2 or 2, - 1, - 4
2nd no. =a+d
3rd no. a+2d
As per question
a+a+d+a+2d = -3
a+d=-1
a= -1-d
And a*(a+d) *(a+2d) = 8
(1+d)*(d-1)=8
d=±3
a= -4or2
Hence the no. are - 4, - 1, 2 or 2, - 1, - 4
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