SOLUTION: a1=2/5;an=5an−1 an=? I would dearly love if you can answer in less than a 5 hours please and thanks veryy much!!

Algebra ->  Sequences-and-series -> SOLUTION: a1=2/5;an=5an−1 an=? I would dearly love if you can answer in less than a 5 hours please and thanks veryy much!!      Log On


   



Question 1081636: a1=2/5;an=5an−1
an=?

I would dearly love if you can answer in less than a 5 hours please and thanks veryy much!!

Found 3 solutions by stanbon, MathTherapy, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a(1) = 2/5 ; a(n) = 5a(n−1)
a(n) = 5*a(n-1)
Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
a1=2/5;an=5an−1
an=?

I would dearly love if you can answer in less than a 5 hours please and thanks veryy much!!

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
a1=2/5;an=5an-1
an=?

I would dearly love if you can answer in less than a 5 hours please and thanks veryy much!!
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These formulas, a%5B1%5D = 2%2F5 and a%5Bn%5D = 5%2Aa%5Bn-1%5D, determine a geometric progression with the first term a%5B1%5D = 2%2F5 and the common ratio of 5.

The first terms are

2%2F5,   2,   10,   50,   250,  . . . 


The formula for the n-th term is

a%5Bn%5D = %282%2F5%29%2A5%5E%28n-1%29,  n = 1, 2, 3,  . . . 


This formula is what you want.

Solved.


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


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".