SOLUTION: Find r (common ratio) if a2= 6 and a5= 0.048. I've tried finding r and setting them equal to each other but I have not found a good answer yet.

Algebra.Com
Question 697719: Find r (common ratio) if a2= 6 and a5= 0.048. I've tried finding r and setting them equal to each other but I have not found a good answer yet.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
a2= 6 and a5= 0.048
Use the formula:

an = a1r(n-1)

First with n=2

a2 = a1r(2-1)

6 = a1r1

6 = a1r

 = a1

And then with n=5

a5 = a1r(5-1)

0.048 = a1r4

 = a1

Equating the expressions for a1

 = 

Cross multiplying

6r4 = 0.048r

Divide both side by 6r

r³ = 

r³ = 0.008

Taking cube roots of both sides

 r = 

 r = 0.2

Edwin
RELATED QUESTIONS

Sum of the first 6 terms of a geometric progression equals to 63. Sum of the even terms (answered by Boreal)
find the terms a2 a3 a4 and a5 of a geometric sequence if a1=10 and the common ratio... (answered by Schaman_Dempster)
Find the common ratio when a2 = 64 and a5 =... (answered by anand429)
For r(x) = 10x^2-19x-5 find all values of r(a)=-11. My problem with this is i cannot... (answered by richwmiller)
Im really bad at math. HELP Find a5 and An for each geometric sequence.... (answered by scott8148)
I was given the a2=3 and a5=24. how to get the first term and the common... (answered by josgarithmetic)
What is (r+1/4) times (r+1/2)? I tried to get the common denominator and add like... (answered by Earlsdon)
For which value(s) of r does there exist a power function (y= Cx^r) passing through the... (answered by jim_thompson5910)
(2w+i)/(w-i) = (3w+4i)/(w+3i) I have tried solving this by bringing one side over to... (answered by robertb)