Find the 8th term of the geometric sequence –4, 12, –36, 108, –324,

pls mark me as brainliest

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

3

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:

r

=

3

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

Substitute in the values of

a

1

=

4

and

r

=

3

.

a

n

=

(

4

)

⋅

(

3

)

n

−

1

Remove parentheses.

a

n

=

4

⋅

3

n

−

1

Substitute in the value of

n

to find the

n

th term.

a

8

=

4

⋅

3

(

8

)

−

1

Subtract

1

from

8

.

a

8

=

4

⋅

3

7

Raise

3

to the power of

7

.

a

8

=

4

⋅

2187

Multiply

4

by

2187

.

a

8

=

8748

my dear correct answer is option number 3

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.