Answer:
First term a₁ = 3/2 and common ratio r = 2
Step-by-step explanation:
We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96
Since common ratio is required so, the sequence is geometric sequence
The formula used is: 
We are given: third term = 6 i,e

Seventh term = 96

Dividing eq(2) and eq(3)

So, Common Ratio r = 2
Finding First term using eq(1)

So, First term a₁ = 3/2 and common ratio r = 2
It looks as if it has to be the first choice. Because its asking for you to find "X" which is greater than 2. Good luck!
how do u even do this math?
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:

And we want to solve for x.
First, let's reduce
, as reducing fractions typically makes the process easier
is the same as 
So:

We can't do anything to
, but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
Answer:
81mm
Step-by-step explanation:
the number of steps is small enough that we can simply list out each step
let the time elapsed be t and the original length be L ( = 1 mm)
when t = 0, L = 1mm
when t = 10, L = 3mm
when t = 20, L = 3 x 3 = 9mm
when t = 30, L = 9 x 3 = 27mm
when t = 40, L = 27 x 3 = 81mm