Write the sum using summation notation, assuming the suggested pattern continues.

-9 - 4 + 1 + 6 + + 66

summation of negative forty five times n from n equals zero to fifteen

summation of the quantity negative nine plus five n from n equals zero to fifteen

summation of the quantity negative nine plus five n from n equals zero to infinity

summation of negative forty five times n from n equals zero to infinity

It's the second choice

Step-by-step explanation:

Note that the numbers values increase by 5 .

When n = 0 , we have -9 + 5(0) = -9

when n = 1 it is -9 + 5(1) = -4

when n = 2 it is -9 + 5(2) = 1      and so on.

when n = 15 (the last term)  66 = -9 + 5(15).

We can write the summation as:

n=15

∑ (-9 + 5n)

n=0.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.