Complex number question: express as a+bi

AI Thread Summary
To express the product (i+1)(i+2)(i+3)...(i+n) in the form a+bi, the approach involves multiplying the terms sequentially and simplifying at each step. Users are encouraged to identify patterns in the results after each multiplication to derive a general expression based on n. The discussion emphasizes the importance of showing attempted work and thought processes in problem-solving. The goal is to find a clear representation of the complex number as a function of n. This methodical approach can help in understanding the behavior of the product as n increases.
sw1
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Express in the form a+ib:

(i+1)(i+2)(i+3)..(i+n)


I can handle problems like i^n, but this one has been giving me issues.
 
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sw1 said:
Express in the form a+ib:

(i+1)(i+2)(i+3)..(i+n)


I can handle problems like i^n, but this one has been giving me issues.
According to our guidelines you are expected to show what you have attempted, or at least detail your thoughts on the problem.
 
The problem is looking for a general expression for the result as a function of n. Multiply the first two terms and simplify the result. Then multiply that by the next term and simplify. Then multiply in the next term... Is there a pattern?
 

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