Which sequence is modeled by the graph below?
coordinate plane showing the points 2, 9; 3, 3; and 4, 1
a) an = one third(27)n − 1
b) an = 27(one third)n − 1
c) an = 1(−3)n − 1
d) an = 3(one half)n − 1

an=27(one third) - 1

thanks

The correct answer is:

                Option: B

We are given that the graph passes through (2,9) , (3,3) and (4,1)

Now, the function which models the graph is given by:

when n=2 we have:

when n=3 we have:

when n=4 we have:

answer is x<

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.