SOLUTION: Find the 20th number of the number pattern; 3, 1, 1/3, 1/9, ...

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Question 1134754: Find the 20th number of the number pattern; 3, 1, 1/3, 1/9, ...
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is a geometric progression with the first term 3 and the common difference of  1%2F3.


So, the 20th term is   a%5B20%5D = 3%2A%281%2F3%29%5E19  1%2F3%5E18 = %281%2F3%29%5E18.

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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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