SOLUTION: Consider the following sequence: − 15 , − 105 , − 735 , − 5145 , − 36015,... Write an explicit formula for the sequence. (use the form an = b ( r )^n − 1 ) an= T

Algebra ->  Probability-and-statistics -> SOLUTION: Consider the following sequence: − 15 , − 105 , − 735 , − 5145 , − 36015,... Write an explicit formula for the sequence. (use the form an = b ( r )^n − 1 ) an= T      Log On


   



Question 1171157: Consider the following sequence: − 15 , − 105 , − 735 , − 5145 , − 36015,...
Write an explicit formula for the sequence.
(use the form an = b ( r )^n − 1 )
an=
The n is supposed to be underneath the a!

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

You have a geometric progressing in front of you with the first term  a%5B1%5D = -15 and the common ratio of r= 7.


The formula for the general term is


    a%5Bn%5D = a%5B1%5D%2Ar%5E%28n-1%29 = %28-15%29%2A7%5E%28n-1%29.

Solved, answered and explained.

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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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