Please boost your Plan to download papers

Got a tricky question? Receive an answer from students like you!
Try us!

#
Math Problem example - Investigating borders

Math Problem

Science

Pages 8 (2008 words)

As seen in the explanation of above tabular data, we can extend this idea further to find out the number of squares in the following patterns. To get the total number of squares in pattern 5, we add the total number of squares in the pattern 4, and new squares, following the above idea, that is, adding (11 + 9) squares, which gives the total number of squares as 61.

…

Get more done in less time

Let us write a custom math problem on your topic

“Investigating borders” with a personal
15% discount.

Order now
## Extract of sample

Now we will first find the formula for the white squares and after that the formula for the total squares. Subtracting from the total squares the number of white squares we will get the number of black squares.

Let us find the pattern in counting all the squares. In Pattern 1 we can see first two rows contain 1+3=4 squares. If we consider the last two rows then they also contain 1+3=4 squares. We are counting the three squares in the middle row two times so we have to subtract them from the total to get the total number of squares in the pattern. So we get

In Pattern 2 the first three rows contain 1+3+5=9 squares. Similarly the last three rows contain 9 squares. We are counting the five squares in the middle row two times so we have to subtract them to get the total number of squares in the pattern. So we get

...

Download paper
Not exactly what
you need?

### Related papers

How to use tactics of social influence
These are usually outside factors that provide people with power - for instance, wealth, physical attractiveness, success in career. These factors place the person to a higher position compared to other people around. So even in case the person is not powerful as politician or military man, he may also possess the power that is not so evident but is also strong and intense. The singers and actors…

Laboratory Information Management Systems Essay
I hereby certify that this dissertation constitutes my own product, that where the language of others is set forth, quotation marks so indicate, and that appropriate credit is given where I have used the language, ideas, expressions, or writings of another.…

Asymmetric Synthesis
Hence, it is undeniably interesting to study the catalytic asymmetric synthesis of cinchona alkaloids , which have also been helpful in man's daily living. This includes its role in the production of food flavorings and medicines for different ailments like malaria.…

Tangled Triangles
The ancient Greeks were aware of this and often used this information in their day-to-day life. Perhaps it all started with the 'Dido's fix' in eighth century BC. However, in most of the cases, these observations were stated with any formal proof backing them. Whether it is a bubble taking a spherical shape to minimize surface energy or the hexagonal shape of honeycomb to maximize honey storage,…

Historical Documentary
But one form of documentary was on an upwards curve even into the new millennium - the history documentary"…