2/3n=4n-10/3n-1/2 can you show me how to do it step by step

Step-by-step explanation:

The fractions are what make the equation look complicated.

Because it is an equation you can get rid of the fractions by multiplying each term by the LCM of the denominators.

(This is somewhat easier than trying to make all the denominators the same first.)

2

3

n

=

4

n

−

10

3

n

−

1

2

(LCM of 3 and 2 is

6

)

6

×

2

3

n

=

6

×

4

n

−

6

×

10

3

n

−

6

×

1

2

Now cancel the denominators and simplify.

6

2

×

2

3

n

=

6

×

4

n

−

6

2

×

10

3

n

−

6

3

×

1

2

4

n

=

24

n

−

20

n

−

3

4

n

=

4

n

−

3

0

=

−

3

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~