find the three numbers in AP whose sum and product is 6and6 . show the steps of solution
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Answer:
1,2,3 or 3,2,1
Step-by-step explanation:
lets assume,
a - d, a, a+d
according to first condition,
a-d + a + a +d = 6
3a = 6
a=6/3
a=2
according to second condition,
(a-d) (a) (a+d) = 6
(2-d) (2) (2+d) = 6
(2 - d) (2+d)= 6/2
(2 square - d square ) = 3
4 - d square = 3
4 - 3 = d square
√1 = d
therefore, d = + or - 1
if d=1
a-d = 2-1 = 1
a = 2
a+d = 2+1= 3
If d = -1
a-d = 2 - (-1) = 3
a= 2
a+d= 2+(-1) = 2 - 1 = 1
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