What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63

Given:

The geometric sequence is:

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

Here, the first term is:

The common ratio is:

The nth term of a geometric sequence is:

Where, a is the first term and r is the common ratio.

Substitute to find the 9th term.

Therefore, the 9th term of the given geometric sequence is 5103.

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.