## anonymous one year ago Will give a medal: Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, negative one divided by two, ... Just need an explanation on how to do these types of problems.

1. IrishBoy123

Find the common ratio first

2. anonymous

@irishboy123 I didn't think there was one.

3. anonymous

4. IrishBoy123

$$108 \times ?? = -18$$ $$-18 \times ?? = 3$$ $$3 \times ?? = -\frac{1}{2}$$

5. anonymous

-1/6 @IrishBoy123

6. anonymous

So then what? @IrishBoy123

7. IrishBoy123

yes so you took 108 and started multiplying it by -1/6 so the terms of the sequence gradually becomes what?

8. anonymous

0?

9. IrishBoy123

yes

10. anonymous

So converges at 0?

11. IrishBoy123
12. anonymous

Can you help me with one more? Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

13. anonymous

And it converges at 0 because the values get closer and closer to 0

14. IrishBoy123

yes for next one, post new thread

15. anonymous

Ok