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

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Find the first four terms of the recursive sequence defined below. Jun 2, 2018

#1
+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

Jun 2, 2018
#2
+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 a1 is. 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.

Jun 2, 2018
edited by TheXSquaredFactor  Jun 2, 2018
#3
-3

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

Jun 2, 2018
#4
+1

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

TheXSquaredFactor  Jun 2, 2018