SOLUTION: hey,the question is_ if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1 find a, r, and t10

Question 207755: hey,the question is_
if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
-------------------------------
t(4) = 8 = ar^3
t(7) = 1 = ar^6
====================
Divide t(7) by t(4) to get:
[ar^6]/[ar^3] = 1/8
r^3 = 1/8
r = 1/2
---------------
Substitute into ar^3 = 8 to solve for "a":
a(1/2)^3 = 8
a(1/8) = 8
a = 64
===============
So, t(10) = ar^9 = 64(1/2)^9 = 1/8
========================================
Cheers,
Stan H.
RELATED QUESTIONS
URGENT QUESTION... the question is- if a sequence follows thesame pattern as a, ar,... (answered by RAY100)

URGENT QUESTION... the question is- if a sequence follows the same pattern as a, ar,... (answered by RAY100)

Question: In a set of four numbers, the first three are in a geometric sequence and the... (answered by ikleyn)

Question: The sum of three numbers in a GP is 14. If the first two terms are each... (answered by ikleyn)

Please help me solve this equation: Given the sum of a and a3 = 3 and the sum of a4... (answered by lynnlo)

{{{S=a+ar+ar^2+ar^3+ar^(n-1)}}}, what happens to the sum when... (answered by satyareddy)

For the geometric sequence {{{a}}},{{{ ar}}},{{{ar^2}}} ... (to infinity), show that the... (answered by greenestamps)

what is the sum of a+ar+ar^2.....to infinity when... (answered by ikleyn)

Can someone help me with this? Thank you. infinite geometric series a+ar+ar^2+ar^3+...... (answered by rothauserc)