Maths-
General
Easy

Question

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

hintHint:

A pattern is a repeated arrangement of numbers, shapes, colours etc. The Pattern can be related to any type of event or object. If the set of numbers are related to each other in a specific rule, then the rule or manner is called a pattern.

The correct answer is: Hence, the fourth has been drawn above and it is based on the pattern that a figure at the nth position will have 2n rectangular sections and these rectangular sections are divided into two rows and 2^n/2columns.


    Solution
    We can see that in the first figure, there are 2 rectangular sections. in the second figure, there are 4 rectangular sections and in the third figure, there are 8 rectangular sections. So we can conclude that there will be 2n rectangular sections in the nth position of the sequence and these rectangular sections are divided into two rows and 2 to the power of n over 2 columns
    Now, we can also see that in every figure the top left corner rectangular section is shaded.
    The 4th figure will have (24 = )16 rectangular sections and they are divided into 2 rows and ( 2 to the power of 4 over 2 = ) 8 columns. It can be drawn as:

    Final Answer:
    Hence, the fourth has been drawn above and it is based on the pattern that a figure at the nth position will have 2n rectangular sections and these rectangular sections are divided into two rows and 2 to the power of n over 2 columns.

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