Generate the first 6 rows of the Floyd Triangle (natural numbers)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
The sum of each row (n) is denoted below:
Sum Row(n) =
n(n2 + 1)
2
Row #
Math Work 1
Math Work 2
Math Work 3
Row Sum
1
1(12 + 1)
2
1(2)
2
2
2
1
2
2(22 + 1)
2
2(5)
2
10
2
5
3
3(32 + 1)
2
3(10)
2
30
2
15
4
4(42 + 1)
2
4(17)
2
68
2
34
5
5(52 + 1)
2
5(26)
2
130
2
65
6
6(62 + 1)
2
6(37)
2
222
2
111
How does the Pascal-Floyd-Leibniz Triangle Calculator work?
This generates the first (n) rows of the following triangles:
Pascal‘s Triangle
Leibniz‘s Harmonic Triangle
Floyd‘s Triangle This calculator has 1 input.
What 2 formulas are used for the Pascal-Floyd-Leibniz Triangle Calculator?
What 4 concepts are covered in the Pascal-Floyd-Leibniz Triangle Calculator?
combination
a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter nPr = n!/r!(n - r)!
leibnizs triangle
a triangular arrangement of unit fractions in which the outermost diagonals consist of the reciprocals of the row numbers and each inner cell is the cell diagonally above and to the left minus the cell to the left.
pascals triangle
a triangular array of the binomial coefficients
triangle
a flat geometric figure that has three sides and three angles
Example calculations for the Pascal-Floyd-Leibniz Triangle Calculator
