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,...

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) (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
RELATED QUESTIONS
Determine if the sequence is geometric. If it is, find common ratio and 8th term.... (answered by amarjeeth123)

The first term of the sequence is -2 and the fifth term is -1/8. List 4 things you know.... (answered by richwmiller)

Please I will Cashapp 10$ If anyone can solve it it's due today I really need help.... (answered by Boreal)

I have a sequence, which I can't really find an explicit formula for. The sequence is... (answered by richwmiller)

given a term in a geometric sequence and the common ratio find the term named in the... (answered by josgarithmetic,MathTherapy)

PROBLEMS: 1. Find a formula for the nth term of the following sequence: 4, 12, 36, 108,... (answered by Alan3354)

The sequence 2, 6, 18, 54, ... is geometric. Find (1) the common... (answered by Edwin McCravy,ikleyn)

Find the nth term formula for the geometric sequence whose first term is 4 and whose... (answered by Nate)

1. Find a formula for the nth term of the following sequence: 4, 12, 36, 108, 324, . . .... (answered by htmentor)