3,072, 768, 192, 48, 12, ...
Answer:
an=1/4(an-1)
Step-by-step explanation:
The recursive formula for the given geometric sequence is an = an-1/4. This formula describes how each term in the sequence is the previous term divided by 4. It is used to find any term in the sequence when the previous term is known.
The sequence 3,072, 768, 192, 48, 12, ... is a geometric sequence. This means that each term is the previous term multiplied by a constant ratio. In this sequence, each term is being divided, or multiplied, by 4. Hence, the formula - called recursive formula - for a geometric sequence that can be used to find the next term is an = an-1/4.
Here, an is the nth term you're trying to find, n is the term number, and an-1 is the previous term in the sequence.
So, for example, to find the 6th term in the sequence (where n=6), you would divide the 5th term (48) by 4, which yields the 6th term: 12.
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A. Positive
B. Negative
Lookattheattachedpicture⤴
Hopeitwillhelpu...
B 7 square units
C 9 square units
D 11 square units
By decomposing the figure in simpler ones, we conclude that its area is 9 square units.
Let's read the figure from the top.
First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.
Below that, there are 4 square units inside the figure.
On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:
a = 1*2/2 = 1 square unit
And we have 2 of these triangles, so the total area is 2 square units.
Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.
Adding all the areas above, we see that the total area is:
A = (1 + 4 + 2 + 2) square units = 9 square units.
So the correct option is C
If you want to learn more about area, you can read:
A of Figure 1 results in Figure 2.
The transformation of Figure 1 results in Figure 2 is Rotation.
A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The Pre-Image is the original shape of the object, and the Image during the transformation is the final shape and location of the object.
Transformations in geometry are categorized into three;
As we translate, we move a figure in any direction.
When we flip a figure over a line, we call this reflection.
When we rotate a figure a given amount around a point, we call this rotation.
As we dilate, we enlarge or contract a figure.
Learn more about Transformation here:
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Answer: rotation
Step-by-step explanation:
a rotation about 90degrees