SOLUTION: Consider a geometric sequence whose third term is 9 and whose sixth term is −8/3. What is its first term? (Enter a number only)

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Question 1091771: Consider a geometric sequence whose third term is
9 and whose sixth term is −8/3. What is its first term?
(Enter a number only)
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
 = 9 = ,

 = = ,


==========>   =  =  = 

==========>   =  = 

==========>  r =  = 


==========>  9 =  =  = 

==========>  a =  = 4.


Answer.  a =  = 4.

SOLVED.


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On geometric progressions see the lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
    - One characteristic property of geometric progressions
    - Solved problems on geometric progressions
    - Fresh, sweet and crispy problem on arithmetic and geometric progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric
in this site.

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".


Save the link to this textbook

https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Consider a geometric sequence whose third term is
9 and whose sixth term is −8/3. What is its first term?
(Enter a number only)
 

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