I am having problem with this question. Please help
Find showing all working, a recursive definition of the sequence with general term
from n1 onwards
How am I suppose to find the recursive definition? What are the steps?
A recursive definition requires two components
1) A (a base term)
2) A general formula relating and for where n is a natural number
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Finding is easy. Replace to get
Since we know the formula for we also know the formula for (replace n with n+1)
Now consider , the ratio between two consecutive terms, and isolate for the recursive formula as desired. I'll leave the rest to you.
Macsters thank you very much for the reply.
I don't think I came up with the right answer and I can't simply anymore because my algebra is very bad.
Simplified
I am a bit lost from this point. Can you please tell me if I am even on the right track?
Thank you sooo much : ) for everything.
Edit: One more question. I would like to send you a PM since this is solved but someone might found it useful to see the question here.
With the
I pretty much understand everything above and the final answer.
But what if
How can I calculate a sequence when it's relating to previous number? Lets say n-1 or n-2.
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