Given the geometric sequence where a1 = 2 and the common ratio is 8, what is the domain for n?

a. all integers

b. all integers where n ≥ 1

c. all integers where n ≥ 0

d. all integers where n ≥ −1

B. All integers where n ≥ 1

Step-by-step explanation:

We are given the geometric sequence where a1 = 2 and the common ratio is 8.

Where a1 is the first term.

we have to find the domain for n.

The general formula for the geometric sequence is:

Clearly, n can take any integer value n≥1

Hence, the correct option is:

B. All integers where n ≥ 1

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90