SOLUTION: For the sequence below, determine whether it is arithmetic or geometric. State the general term and t6. USE FRACTIONS WHERE NECESSARY. 375, 75, 15, 3, ...

Algebra ->  Functions -> SOLUTION: For the sequence below, determine whether it is arithmetic or geometric. State the general term and t6. USE FRACTIONS WHERE NECESSARY. 375, 75, 15, 3, ...      Log On


   

Question 1085418: For the sequence below, determine whether it is arithmetic or geometric. State the general term and t6. USE FRACTIONS WHERE NECESSARY.
375, 75, 15, 3, ...
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
Geometric.


First term is 375,  the common difference is 1%2F5 = 75%2F375 = 15%2F75 = 3%2F15.


General term a%5Bn%5D = 375%2F5%5E%28n-1%29,  n = 1, 2, 3 . . .


a%5B6%5D = 375%2F5%5E5.


There is a bunch of 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
    - 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


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".



There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions

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