MHB Summation and product notation rules

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The discussion focuses on the validity of statements regarding summation and product notation rules. The user initially believes that only two statements are correct and identifies the third statement as incorrect, specifically regarding the distribution of a constant across a product. The conclusion confirms that the user's assessment is accurate, affirming that the third statement does not hold true. The conversation emphasizes the importance of understanding the properties of summation and product notation in mathematical expressions. Overall, the user successfully clarifies their understanding of the rules.
lemonthree
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As per the image, I am supposed to select all the valid statements. Apparently I'm only partially correct, and so I took another look at the statements.

I believe the third statement is wrong, since $$c * (a_m*a_{m+1}*a_{m+2}*...*a_n)$$ =/= $$ (c*a_m)(c*a_{m+1})(c*a_{m+2})*...*(c*a_n)$$

Thus there should only be two answers. Am I correct on this?
 

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You are correct.

-Dan
 

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