LACSAP's Functions

The first 200 words of this essay...

LACSAP'S FRACTIONS

Tanya Zhandria Waqanika

Prince Andrew High School

IB Math SL Portfolio #1

Mr Brown

Task 1 - Find the Numerator

Task 2 - Plot relation between the row number and Numerator, write general statement about it

Task 3 - Find the 6th and 7th rows

Task 4 - Find the general statement for En(r)

Task 5 - Find additional rows with General Statement

Task 6 - Discuss the scope/limitations of the General Statement

Task 1 - Finding the Numerator

Since 'LACSAP' is just 'Pascal' reversed, I decided to do some research about Pascal's triangle. Through my research, I was able to come across the equation nCr, or n!/r!(n -r)! where n represents the row number and r represents the 'element' number, or the diagonal row number.

e.g. 3C2 = 3!/2!(3 - 2)! = 1 x 2 x 3/1 x 2 x 1 = 3

This equation is used to find any number within Pascal's triangle. With 1 at the top of both pyramids representing n = 0, r = 0, I decided to compare Pascal's triangle to LACSAP's fractions.

Pascal's triangle