Question

# Describe how to sketch the fourth figure in the pattern. Then

sketch the fourth figure.

Hint:

### Figure out the pattern from the picture provided.

## The correct answer is: part is shaded which can be denoted as 1 over 16 equals 1 over 2 to the power of 4 . It would look like,

### Complete step by step solution:

Starting from the left,

Consider a quadrilateral,

In the first figure, a quadrilateral is divided into 2 equal parts and one part is shaded

which can be denoted as

In the next figure, the quadrilateral is divided into 4 equal parts and one part is

shaded which can be denoted as

In the next figure, the quadrilateral is divided into 8 equal parts and one part is

shaded which can be denoted as

So, the sequence we get is , and next term would be

Next figure would be, the quadrilateral is divided into 16 equal parts and one

part is shaded which can be denoted as .

It would look like,

### Related Questions to study

### Choose the synonym for "prefix”

### Choose the synonym for "prefix”

Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real world situation? Explain.

Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real world situation? Explain.

### A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.

a) Write a function that relates the distance travelled ,d to the time, .

b) Graph the function and tell whether it is a linear function or non linear function.

There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

### A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.

a) Write a function that relates the distance travelled ,d to the time, .

b) Graph the function and tell whether it is a linear function or non linear function.

There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

### Do the ordered pairs plotted in the graph below represents a function? Explain.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.

### Do the ordered pairs plotted in the graph below represents a function? Explain.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.

### The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.