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The recursive rule for a sequence is shown.

an=an−1+6

a1=39

 

What is the explicit rule for this sequence?

 

  • an=33n−6
  • an=6n−33
  • an=6n+33
  • an=33n+6
adore.nuk  Feb 7, 2018
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 #1
avatar+82944 
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an = an-1 + 6,  a1  = 39

 

Note that the terms are

 

39, 45, 51, 55.......

 

So....we can write

 

6(1) + 33, 6(2) + 33, 6(3) + 33 , 6(4) + 33

 

So...the explicit rule is

 

an  = 6n + 33

 

 

 

cool cool cool

CPhill  Feb 7, 2018

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