The common ratio in a geometric sequence is the ratio between 2 consecutive terms:
-8/2=-4,
then the sequence is 2, -8, 32, -128, -512, 2048, ...
let
be the nth term of the sequence, then
.
.
.
so clearly
and, clearly n are integers >0, since we have a 1st term, a second term and so on... of a sequence (we do not have a "zero'th term"!
Answer:
<span>C. an=2(-4)^n-1; all integers where n>0</span>
Answer:
7.2
Step-by-step explanation:
To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.
The Pythagorean Theorem states that 
. If we plug the side lengths in for a and b, we get 
. This can be simplified to 
, or 
. If we root both sides, we find that c is equal to 
, which is slightly more than 7, at around 7.2.
Answer:
I belive it is 105
Step-by-step explanation:
ok so by spliting this up into where the 9 lengh ends.that recctangle is now 9 by 6,to find area you multiply them,that gets you 54.Now for the other part you want to fill it in,when you do that the area is 6 by 11 what equals 66 but ou have to take away the corner making it 51.Now we add those together and you have 105.
In standard form:
answer- 14,000 and 12,000
Example
←LEFT 12,000
↑
comma(THOUSANDS PLACE)
ten thosands is the second number after the comma(thousands) to the left
Answer:
goes into the box
Step-by-step explanation:
Let the number be 
, then
We now use the following property of exponents to simplify the left hand side of the equation.
This implies that;
Since the bases are the same, we equate the exponents to get;
We now multiply both sides by 3 to get;
Therefore the number that goes into the box is
