SOLUTION: Find the specified term of each geometric sequence. t3 = -12 t6 = 96 t9 = ? Find t9. So what I did was, tn = t1 * R^n-1 So, I thought I could make t3 the first term and

Algebra ->  Sequences-and-series -> SOLUTION: Find the specified term of each geometric sequence. t3 = -12 t6 = 96 t9 = ? Find t9. So what I did was, tn = t1 * R^n-1 So, I thought I could make t3 the first term and      Log On


   

Question 114295This question is from textbook Algebra and Trigonometry Structure and Method Book 2
: Find the specified term of each geometric sequence.
t3 = -12
t6 = 96
t9 = ?
Find t9.
So what I did was, tn = t1 * R^n-1
So, I thought I could make t3 the first term and t6 the nth term, to find the common ratio.
96= -12 * R^6-1
96= -12 * R^5
-8 = R^5
Now I'm stuck. This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
t6 is the geometric mean between t3 and t9 (same number of terms distant from each), so t6/t3=t9/t6 ___ (t6)^2/t3=t9