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:
FH ~ 10.02
Step-by-step explanation:
1. Approach
One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.
2. Circumference of the circle
The formula for circumference is;
π
Substitute in the given values;
It is given that the radius is, hence
2 (7) π
14π
3. Find the fraction of the circumference one is supposed to find
It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

Substitute in the given information and solve;

arc = 
arc = 
arc ~ 10.02
Given:
Quadrilateral QRST has diagonals that do NOT bisect each other, are congruent and are not perpendicular.
By checking the options:
Rhombus, rectangle and the square each of them the diagonals bisect each other
So, the answer will be option 4) Isosceles Tra
Answer:
x²
Step-by-step explanation:
x³ - 1 ÷ x + 2
the first term of the quotient is x³ ÷ x = x²
The surface area of a shape is the amount of space on the shape
When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area
<h3>How to determine the surface area</h3>
The surface area of a rectangular prism is:

When quadrupled, we have:

Factor out 16

Substitute 

The above means that:
The new surface area would be 16 times the initial surface area
Read more about surface areas at:
brainly.com/question/24571594