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Tetrahedral Pyramid Number Calculator
To use Tetrahedral Pyramid Number Calculator, enter the non-negative number, and hit the calculate button
Tetrahedral Pyramid Number Calculator
Tetrahedral Pyramid Number Calculator is a tool that finds the number of spheres used to construct a pyramid with a rectangular base. Its inputs are always given non-negative numbers.
What is the Tetrahedral Pyramid Number?
It’s a positive number which shows how many spheres are required to make the pyramid with a rectangular base. It is graphically represented as a regular polygon by spheres or dots.
The formula of tetrahedral number in the nth-term is stated as.
Tn = {n * (n + 1) * (n + 2)} / 6
Where “Tn” is the tetrahedral number for the given nth-term.
For example:
The first five terms in the Tetrahedral Pyramid Number sequence are given as.
T1 = 1
T2 = 4
T3 = 10
T4 = 20
T5 = 35
How to evaluate the tetrahedral number?
Example 1:
Evaluate the tetrahedral number for the number “4”.
Solution:
Step 1: Write the data from the given condition.
n = 4, Tn =?
Step 2: Write the formula of the tetrahedral number.
Tn = {n * (n + 1) * (n + 2)} / 6
Step 3: Put the values of “n” and evaluate for the required results.
n = 4,
T4 = {4* (4 + 1) * (4 + 2)} / 6
T4 = {4* (5) * (6)} / 6
T4 = {4* (5)}
T4 = 20
Example 2:
Evaluate the tetrahedral number for the number “7”.
Solution:
Step 1: Write the data carefully from the given condition.
n = 7, Tn =?
Step 2: Write the formula of the tetrahedral number.
Tn = {n * (n + 1) * (n + 2)} / 6
Step 3: Put the values of “n” and evaluate for the required results.
n = 7,
T7 = {7* (7 + 1) * (7 + 2)} / 6
T7 = {7* (8) * (9)} / 6
T7 = {56* (9)}/ 6
T7 = 84
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