What are the next two numbers in the sequence 21, 18, 13, 6,

-3,-14

Step-by-step explanation:

21  

18  (-3)

13   (-5)

6    (-7)

-9 6-9 = -3

-11 ... -3 - 11 = -14

-3, -14

Step-by-step explanation:

You can see that from 21 to 18 the difference is -3

18 to 13 is -5

13-6 is -7

See the pattern yet?   The difference of the numbers are subtracted by 2 again.

-3, -5, -7, then it's -9. then -11

So 6+(-9) = -3

-3+(-11) = -14

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions