Find the first six terms of the sequence. a1 = 4, an = an-1 + 8

The first 6 terms are 4,12,20,28,36,44

Step-by-step explanation:

So we have the recursive sequence

.

If you try to dissect what this really means, it becomes easy.  

Pretend is a term in your sequence.

Then is the term right before or something like means the term right after.

So it is telling us to find a term all we have to is add eight to the previous term.

So the second term is 4+8=12.

The third term is is 12+8=20.

The fourth term is is 20+8=28.

The fifth term is is 28+8=36

The sixth term is is 36+8=44.

Now sometimes it isn't that easy to see the pattern from the recursive definition of a relation. Sometimes the easiest way is to just plug in. Let's do a couple of rounds of that just to see what it looks like.

.