SOLUTION: If 7 and 189 are the first and forth terms of a geometric progression, find the sequence

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Question 1195162: If 7 and 189 are the first and forth terms of a geometric progression, find the sequence
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
7, 7r, 7r^2, 189, ...
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The 4-th term of this geometric progression is  ;

so we have this equation

     = 189.


It implies

     =  = 27,

    r =  = 3.


Thus the sequence is  7,  7*3 = 21,   = 63,   = 189.

Solved and explained.

--------------------

On geometric progressions,  see introductory lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
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 together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

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