SOLUTION: Find the formula for the nth term of the geometric sequence with a base 2= -18 and a base 5= 144

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Question 1087012: Find the formula for the nth term of the geometric sequence with a base 2= -18 and a base 5= 144
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
 =  = -18,

 =  = 144.


====>   =  =  = -8  ====>  r = -2.


Thus we found that the common ratio of the progression is -2.


Then  =  = 9.


The progression is 9, -18, 36, -72, 144 . . . 


The formula for the n-th term is 


 = ,  n = 1, 2, 3, . . .


See introductory lessons on geometric progressions in this site:
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Geometric progressions".



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