Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

−

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

−

1

)

×

2

=

6

+

2

n

−

2

=

2

n

+

4

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!