Infinite product - the shortest question

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The discussion clarifies the definition of an infinite product, confirming that the notation \(\Pi_{i=1}^{N} a_i\) represents the product of a sequence of terms \(a_1, a_2, \ldots, a_N\). Participants agree that the initial example provided does not illustrate an infinite product, as it is limited to a finite number of terms. The conversation includes a light-hearted acknowledgment of the user's intent to correct their professor based on this understanding. Overall, the thread emphasizes the correct interpretation of the infinite product notation in mathematical contexts. The exchange highlights the importance of clarity in mathematical definitions.
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I just heard about the inifinite product, so using my knowledge of inifinite sum this is purely guessing.

\Pi_{i=1}^{N} a_i = a_1 a_2 a_3 ... a_{N-2}a_{N-1}a_{N}

correct?
 
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Short answer: yes.
 
Yes, that is the definition of that symbol. What you show is, of course, not an "infinite" product.
 
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thanks halls and mathman. now i can go and correct my professor.

such a suck-up I know!
:biggrin:
 

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