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1.

The recursive rule for a sequence is shown.

an=an−1+9

a1=21

What is the explicit rule for this sequence?

 

an=12n−9

an=9n−12

an=9n+12

an=12n+9

 

2.

The explicit rule for a sequence is

an=17−5n.

 

What is the recursive rule for the sequence?

 

an=an−1+12,  a1=5

an=an−1−5,   a1=12

an=an−1+5,   a1=12

an=an−1−12, a1=5

 

Thanks so much for all your help.

Guest Apr 15, 2018
 #1
avatar+87639 
+1

First one :

The difference between successive terms is 9   and the first term is  21

 

So we must have that

 

a1  = 12n + 9    ⇒   a1  = 12 (1)  + 9   =  21

So...the last answer is correct

 

Second one

an  = 17  - 5n

The difference between successive terms is - 5   and the first term is 12

 

So we have

 

an  = an-1 - 5

a1   = 12

Second answer

 

 

cool cool cool

CPhill  Apr 15, 2018

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