What is the recursive formula of the geometric sequence? 1/2, 3/4, 9/8, 27/16,...

Recursive  formula of the given geometric sequence is .

Step-by-step explanation:

All geometric sequences have a first term  a  and common ratio r .

Now, in the given question

The first term is

The common ratio

Now, fifth term is

Sixth term

.

.

.

nth term is .

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: