Express the series using sigma notation. -8 + 4 - 2 + 1.

-12

Step-by-step explanation:

I believe you want the "sum of the series," because that's what you get from "sigma notation."  Two cases here:  infinite series and partial series.

If you wish to find the sum of the infinite series whose first term is a = -8 and whose common ratio is r = (-1/2), use the formula

                                             a

sum of infinite series =

                                          1 -  r

which here comes to

                                              -8

sum of infinite series = = -8/(3/2) = -12

                                         1 - (-1/2)

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i