Find the next two terms in this
sequence.
0.1, 0.02, 0.004, 0.0008, 0.00016,

0.000032 and 0.0000064

Step-by-step explanation:

Note there is a common ratio between consecutive term in the sequence, that is

0.02 ÷ 0.1 = 0.004 ÷ 0.02 = 0.0008 ÷ 0.004 = 0.00016 ÷ 0.0008 = 0.2

Thus to obtain a term in the sequence multiply the previous term by 0.2

The next 2 terms in the sequence are

0.00016 × 0.2 = 0.000032

0.000032 × 0.2 = 0.0000064

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

addition

step-by-step explanation: