
=3
r=common ratio: 12/6=2; 6/3=2
r=2,

=

*3
plug in 12 for n:

=
*3

=

*3

=2048*3

=6144
The twelfth term in the sequence is 6144
we know that
A polynomial in the form
is called a sum of cubes
so
Let's verify each case to determine the solution
<u>case A)</u> 
we know that




-------> is not a perfect cube

therefore
the case A) is not a sum of cubes
<u>case B)</u> 
we know that
-------> is not a perfect cube



-------> is not a perfect cube

therefore
the case B) is not a sum of cubes
<u>case C)</u> 
we know that
-------> is not a perfect cube




therefore
the case C) is not a sum of cubes
<u>case A)</u> 
we know that





Substitute


therefore
<u>the answer is</u>
is a sum of cubes
<h3>
Answer:</h3>
32
<h3>
Step-by-step explanation:</h3>
Divide 192 by 6, to find the amount of baseball cards Nick has.
192 ÷ 6 = <u>32</u>
<h3><u>
Check:</u></h3>
32 · 6 = 192
192 ÷ 6 = 32
Nick has 32 baseball cards, which is 6 times less than Juan's amount.
The question is incomplete. The complete question is :
Georgia has some 4-inch cubes like the one shown below. Georgia will put the cubes in the box shown below. What is the total number of cubes that Georgia needs to exactly cover the bottom of the box with a layer one cube deep?
Solution :
It is given that :
There are small cubes that has a dimension of 4 in x 4 in x 4 in.
There is also a box which has a dimension of 24 in x 20 in x 12 in.
We need to find out how many small cubes will Georgia need to cover the bottom of the box.
So, we need to find out the surface area of the one cube and the box.
Therefore, the surface area of one cube = side x side
= 4 inch x 4 inch
= 16 square inches
Similarly the area of the box can be find by = length x breath
= 24 in x 20 in
= 480 square inches
Therefore, dividing the area of the box by the area of the cube, we get

= 30
So Georgia will require exactly 30 cubes to cover the bottom of the box with a layer of one cube deep.
The absolute value of a number gives its distance from zero