Find three numbers in an arithmetic sequence, where the sum of the second and third is 12, and the product of the first and second is 5.
F+D+F+2D = 12
F*(F+D) = 5, solve for F, D
F = sqrt(51) - 6 - This is the first term. D = -2/3 (sqrt(51) - 12) - This is the common difference.
The sequence is:
sqrt(51) - 6, 1/3 (6 + sqrt(51)), 1/3 (30 - sqrt(51)), 18 - sqrt(51)......etc.
OR: 1.141428, 4.380476, 7.619524, 10.858572....etc.