The Sigma notation for summation is a prerequisite knowledge of MATH $1014,$ and will be used heavily in the study of series. If you need a refresher, please see Appendix E of the textbook.

Assume a$1,...,$an$,$b$1,...,$bn$,$c

are all constants and n

is a positive integer. Which of the following are not properties of summation?

Note if you choose a wrong answer, then you will receive a small penalty. For example, if you choose all of the options, then you will receive $0$ for this question. You cannot get less than $0$ for this question.

Question $14$Select one or more:

a$.$

$$i$=1$n$($ai$+$bi$)=$i$=1$nai$+$i$=1$nbi

$.$

b$.$

$$i$=1$naibi$=($i$=1$nai$)($i$=1$nbi$)$

$.$

c$.$

$$i$=1$nc$$ai$=$c$$i$=1$nai

where c

is a constant.

d$.$

$$i$=1$naibi$=$ni$=1$ai$$ni$=1$bi

$,$ provided $$i$=1$nbi!$=0$

$.$