Pascal's triangle is one of the most famous patterns in math. The patterns in pascal's triangle can be used to solve a number of real world problems such as probability and combinations.
The outside edges of pascal's triangle are always 1.
In the image attached, I have attached the first 6 rows.
We will find the next two rows together.
We can find each number on the inside of the triangle by adding the two numbers above the number.
To find the 7th row, begin by writing ones at the end of the rows. Now fill in the missing positions by adding the numbers above.
1 + 5 is 6, 5 + 10 is 15, 10 + 10 is 20, 10 + 5 is 15, and 5 + 1 is 6.
The 7th row will again have ones at the ends.
Then, adding the numbers above,
1 + 6 is 7, 6 + 15 is 21, 15 + 20 is 35, 20 + 15 is 35, 15 + 6 is 21, and 6 + 1 is 7.
So the 8th row is 1, 7, 21, 35, 35, 21, 7, and 1.
I have put a yellow rectangle around the 8th row.
In order to solve a proportion, you should cross-multiply:-
Multiply 3x times 2 and 10 times 3:-
Divide both sides by 6:-
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
