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!!

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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)   (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)   (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(52794)   (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!!
~~~~~~~~~~~~~~~~~~~~ 

These formulas,  =  and  = , determine a geometric progression with the first term  =  and the common ratio of 5.

The first terms are

,   2,   10,   50,   250,  . . . 


The formula for the n-th term is

 = ,  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".



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