1. sarah_hendrix7 Group Title

2. Hoa Group Title

do you want the whole steps or just a result? the final result is an = -7 *6^n

3. Hoa Group Title

a(n+1) -6 a(n) =0 characteristic equation is x -6 =0 x =6 the equation has the form an= C*6^n replace a1 = C *6^1 = -42 ---->C = -7 replace C into an form to get an= -7 *6^n Hope this help. are you in discrete math course?If so, you will understand what i mean

4. ParthKohli Group Title

LOL

5. Hoa Group Title

What's wrong? and what makes you laugh

6. Hoa Group Title

@ParthKohli : I am a student and want to study from others. Please tell me if I am wrong in my work, I appreciate when you correct my mistake or my flaw

7. ParthKohli Group Title

You have left a lot of space. :-)

8. Hoa Group Title

I don't know why the net post it up. I am not good at computer

9. ParthKohli Group Title

I think we can do this using the geometric sequence formula.

10. Hoa Group Title

yes, you are right. show me your work. now is your turn

11. ParthKohli Group Title

12. ParthKohli Group Title

$$a_1 = -42$$ and $$r = -6$$. Now use the following formula:$a_n = a_1 \times r^{n - 1}$

13. Hoa Group Title

how to get r?

14. ParthKohli Group Title

Strictly speaking, if you have:$a_{n + 1} = {\rm some ~number} \times a_n$For all $$n$$, then the "some number" is the common ratio denoted by $$r$$.

15. ParthKohli Group Title

I'd leave it to the asker to do the rest.

16. Hoa Group Title

I need help from my problem, may I have yours?

17. ParthKohli Group Title

18. Hoa Group Title

my problem is: find the coefficient of x^10 in the power series of (x^2 +x^4 +....) (x^3 +x^6 +x^9 +....)(x^4 +x^8 +x^12 +....)

19. ParthKohli Group Title

This is an interesting problem. Let's see.

20. ParthKohli Group Title

You can just message me here; I check this site much often... more than I check my email

21. Hoa Group Title

dealt. since I have to go. send me message when you've done. Nice to see.

22. ParthKohli Group Title

Cya!