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What is the explicit rule for this geometric sequence?

4, 4/5, 4/25, 4/125,…

 

 

What is the recursive rule for this geometric sequence?

1/2, −2, 8, −32,...

 

 

What is the explicit rule for this geometric sequence?

a1=2/3;an=9⋅an−1

 

A business owes $8000 on a loan. Every month, the business pays  1/2 of the amount remaining on the loan.

How much will the business pay in the sixth month?

Guest Dec 6, 2017
 #1
avatar+87537 
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4, 4/5, 4/25, 4/125 ..... =   4(1/5)^(n - 1)   where n is the nth term

 

 

1/2, -2, 8 , - 32...... 

a1  =  (1/2) ,   an  =  (-4) *an-1

 

a1=2/3;an=9⋅an−1

The terms are  2/3, 6, 54, 486......so the explicit formula is

(2/3)*9^(n - 1)      where n is the nth term

 

 

8000*(1/2)^6.......in the 6th month, the business pays  $125

 

 

cool cool cool

CPhill  Dec 7, 2017

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