Question

The first term of a geometric sequence is 3 and the sum of the second and third terms is 60. determine T1,T2, T3,

and Tn

Answer 1

3r + 3r^2 = 60

r^2 + r - 20 = 0
(r+5)(r-4) = 0
so the two sequences are
3,12,48, ...
3,-15,75, ...