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.Com
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) (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
RELATED QUESTIONS
I'm supposed to find the specific term of each arithmetic sequence. The problem is :... (answered by htmentor)
Find all geometric sequences in which t3 + t4 = 36 and t5 + t6 = 144
I know one... (answered by MathLover1)
The first three terms of a geometric sequence are t1 = 32, t2 = -16, t3 = 8. Find the... (answered by ikleyn)
Find the sixth term of an arithmetic sequence with t1=2 and tn=tn-1+4
Thank you so... (answered by Fombitz)
in a Gp if T3=12 and T6=96
Find the 10th... (answered by josgarithmetic)
Question: Find the sums of the following geometric series. 1 + 3 + 9 +...+2187.
What... (answered by mathitutor)
Determine the value of t1 for an arithmetic sequence, where d = –4 and S14 = 1 120
Ive... (answered by ikleyn)
did I do this right: Use the geometric sequence of numbers 1, 3, 9, 27, … to find the... (answered by fractalier)
can you solve this without log? if yes, how do u solve this?
a sequence t1, t2, t3,... (answered by robertb)