Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:
Step-by-step explanation:
8x - 5 = 6x + 1
2x - 5 = 1
2x = 6
x = 3
Answer:
Step-by-step explanation:
Given that,
The volume of a sphere is 904.32 mm³.
The volume of a cone that has the same height and circular base with the same diameter is:
The volume of a sphere with the same radius is:
So, the volume of sphere is :
So, the volume of the cone is 
.
An arc, a circle and a sphere describe a geometric figure consisting of the set of points in a plane that are the same distance from a given point.
An arc is any two connected sections of the circumference of a circle. Whereas an arc consists of the set of points in a plane that are the same distance from a given point it does not consist ALL the points.
A circle is a simple closed shape in consisting of the set of all points in a plane that are at a given distance from a given point, called the centre of the circle. A circle is a 2-dimensional figure and thus does not contain set of points in the 3-dimensional plane. Hence a circle does not consist ALL the points in a plane that are at a given distance from a given point.
A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Like a circle, which geometrically is an object in two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance, r, from a given point, but in three-dimensional space. This distance, r, is the radius of the sphere, and the given point is the center
of the sphere.
Thus, the sphere<span> consists of the set of ALL points in a plane that are the same distance from a given point.</span>
