Is this correct please - series

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Homework Help Overview

The discussion revolves around a mathematical expression involving sequences and series, specifically examining the ratio of consecutive terms in a sequence.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are analyzing the correctness of a given expression and questioning the presence of a factorial in the final result. There are attempts to simplify the expression and clarify the terms involved.

Discussion Status

There are differing opinions on the presence of the factorial in the final expression, with some participants suggesting it should not be there. Guidance has been offered regarding the simplification of the expression, but no consensus has been reached.

Contextual Notes

Participants are working under the assumption that the expression should simplify correctly without a factorial, indicating potential constraints in the problem setup.

Natasha1
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Is this correct please:


(a_n+1 / a_n) = ((n+1)^3 * 4^(n+1) / (3 (n+1)!)) * (3(n!) / (n^3 * 4^n))

is all this equal to

(4 * (n+1)^2 * n!) / n^3
 
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Almost, I think the n! is too much :smile:
 
I don't think you should end up with a factorial.
 
Hammie said:
I don't think you should end up with a factorial.

So this must be the answer, right?

(4 * (n+1)^2) / n^3
 
Looks good to me!
 

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