SOLUTION: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, the explicit formula, and recursive formula: 3,-9,27,-81,...

Algebra ->  Sequences-and-series -> SOLUTION: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, the explicit formula, and recursive formula: 3,-9,27,-81,...       Log On


   

Question 864485: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, the explicit formula, and recursive formula: 3,-9,27,-81,...
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
r=-3
Tn = 3 * -3^(n - 1)
and
Tn=-3(n-1)
T8=3*-3^(7)=-6561
3, -9, 27, -81, 243, -729, 2187, -6561, 19683, -59049, 177147, -531441, 1594323, -4782969, 14348907, -43046721, 129140163, -387420489, 1162261467, -3486784401, 10460353203, -31381059609, 94143178827, -282429536481, 847288609443, -2541865828329, 7625597484987