+0  
 
0
46
1
avatar

The third and fourth terms of a geometric sequence are 12 and 18, respectively. What is the first term of the sequence?

 Dec 23, 2020
 #1
avatar+114320 
+1

The  common ratio  is   18 /12  =   3/2

 

And we can solve this

 

(first term) (common ratio)^ ( 3  -1)   = 12

 

(first term ) (3/2)^(3 - 1)   =  12

 

(first term) ( 3/2)^2  = 12

 

(first term) (9/4)   = 12

 

first term  =  12  (4/9)  =  48/9   =  16/3

 

 

cool cool cool

 Dec 23, 2020

32 Online Users

avatar
avatar