Which of the following are geometric sequences?
Check all that apply.

The options A, B and C are geometric sequences whereas option D is not.

Step-by-step explanation:

Step 1:

For a series to be a geometric sequence, the numbers in the series must be of a common multiplying ratio. So multiplying a constant value with any number will give the value of the next number.

The multiplying constant can be determined by;

 The common multiplying ratio.

Step 2:

For option A, we determine the multiplying ratio,

Since there is a common multiplying ratio of 2, option A is a geometric series.

Step 3:

For option B, we determine the multiplying ratio,

Since there is a common multiplying ratio of 0.5, option B is also a geometric series.

Step 4:

For option C, we determine the multiplying ratio,

Since there is a common multiplying ratio of 3, option C is a geometric series.

Step 5:

For option D, we determine the multiplying ratio,

Since there is no common multiplying ratio, option D is not a geometric series.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

560

hope this : )