Question

Three consequtive terms of an arithmetic sequence have a sum of 12 and a product of -80. Find the terms

Answer 1

middle term a, difference d
a-d+a+a+d=12
a=4
(4-d)4(4+d)=-80
16-d^2=-20
d^2=36
d=6 or d=-6
Terms:
-2, 4, 10 or
10, 4, -2

Answer 2

-2,4,10