The sum of the second and third terms of G.P is six times the fourth term.Find the two possible value of the common ratio
2 answers
The common ratio is either 2 or -3.
As expected for these of kind of problems, the bot is WRONG
ar + ar^2 = 6(ar^3)
ar(1 + r) = 6(ar^3)
1+r = 6(r^2)
6r^2 - r - 1 = 0
(3r + 1)(2r - 1) = 0
r = -1/3, or x = 1/2
ar + ar^2 = 6(ar^3)
ar(1 + r) = 6(ar^3)
1+r = 6(r^2)
6r^2 - r - 1 = 0
(3r + 1)(2r - 1) = 0
r = -1/3, or x = 1/2