Summation and product notation rules

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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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  • Multiple-choice question listing five statements about summation and product notation, each with a checkbox; some boxes are ticked, including a constant times a product equals a product of the constant times each term.
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