Which answer is the explicit rule for the sequence 11,8.5,6,3.5,1

3.5−2.5n

Explanation:

To find the common difference take the end term and subtract the first term:

8.5 -11 = -2.5

Take the third term and subtract the 3rd term to verify:

6-8.5 = -2.5  check

The formula for an arithmetic sequence is:

an = a1+d(n-1)

an = 11 -2.5(n-1)

Distribute:

an = 11 -2.5n+2.5

Combine terms:

answer = 13.5 - 2.5n

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.