+0  
 
+1
240
4
avatar+991 

Find the first four terms of the recursive sequence defined below.

 

GAMEMASTERX40  Jun 2, 2018
 #1
avatar+970 
+2

Hey GAMEMASTERX40!

 

We want to find the first four terms of the recursive sequnce defined above. 

 

The first term is already given, since it says a= -3, so we know the first term is negative three. 

 

The second terms is defined by the second rule. It states that the next term is 6 less then the term before. 

 

So if the first term is -3, the second is -3-6 = -9

 

We continue this rule:

 

-3, -9, -15, -21

 

I hope this helped,

 

Gavin

GYanggg  Jun 2, 2018
 #2
avatar+2294 
+2

This is a recursive formula. The first term, \(a_1\), is already given; it is -3. The recursive formula is saying that the following term is equal to the previous term minus 6. 

 

The first term is easy to find.

\(a_1=-3\)This is the first term. It is given to us!
  

 

Let's find the second term! In order to find the second term, set n equal to 2 in the formula!

 

\(n=2;\\ a_2=a_{2-1}-6\)a2-1 simplifies to a1 .
\(a_2=a_1-6\)Of course, we already know what the value of ais. a1=-3.
\(a_2=-3-6\) 
\(a_2=-9\) 
  

 

See if you can generate the next two terms in the sequence. Well, it looks like Gavin already answered the question I planned to pose to you.

TheXSquaredFactor  Jun 2, 2018
edited by TheXSquaredFactor  Jun 2, 2018
 #3
avatar+991 
+1

Thanks, Gavin and TheXSquaredFactor! This really helped, oh and call me Rick.

GAMEMASTERX40  Jun 2, 2018
 #4
avatar+2294 
+1

Ok, I will try to remember to name you Rick in the future.

TheXSquaredFactor  Jun 2, 2018

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