+73 Find the first four terms of the recursive sequence defined below.
+981 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 a1 = -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
+2440 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.
+73 Thanks, Gavin and TheXSquaredFactor! This really helped, oh and call me Rick.
