# Finding general term of given sequence.

If a sequence follows a rule :

$$a_n=a_{n-1}+a_{n-2}$$ for $$n\geq3$$

$$a_1$$ and $$a_2$$ are constants.

I tried finding via method of difference then i found that its difference is also coming out to be same sequence. This is the only method i know of finding general term.

So is there any more method of finding general term.

• Is $$a_0$$ and $$a_1$$ given? Feb 9 '19 at 12:44
• Have you heard of the Fibonacci sequence? Feb 9 '19 at 12:49
• nope. Actually this was the relation which came in a question of finding the way to place n places with heads such that there are no consecutive heads Feb 9 '19 at 12:50
• Well look it up. Feb 9 '19 at 12:53
• Read it but this is far beyond my current syllabus. I'm undergraduate. Haven't appeared for college yet. Feb 9 '19 at 12:55

Hint: Make the ansatz $$a_n=q^n$$ you will get $$q^n=q^{n-1}+q^{n-2}$$

• I didn't get that Feb 9 '19 at 12:45
• Why this question has been downvoted.. Feb 9 '19 at 12:46
• Ok i will try again with your hint Feb 9 '19 at 12:49
• Can you proceed till end. Cuz I don't hace any knowledge about Fibonacci sequence nor i have read any related concepts. Feb 9 '19 at 13:27