What is Floyd's Triangle and How it is Calculated? - Tutorial

What is Floyd's Triangle? Tutorial with Definition, Example, Formula

Definition

Floyd's triangle is the arrangement of array of any natural numbers in a right angled triangle starting from left to right.

Formula

Sum Row(n)=n(n2+1)/2
Where
n - nth Row
Example:

How Floyd's Traingle is Calculated?

Solution

To generate first five rows, write down the given values form 1 to ..n depend on row count.

1
2 3
4 5 6
7 8 9 10
11 12 13 14 15

Substitute the values in given Formula Sum Row(n)=n(n2+1)/2

Step 1:

Substitute the first value 1 in the formula Sum Row(1)=1(12+1)/2 Sum Row(1)=1

Step 2:

Substitute the Second value 2 in the formula Sum Row(2)=2(22+1)/2 Sum Row(2)=10 / 2 Sum Row(2)=5

Step 3:

Substitute the values in the formula upto n th Row...

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