Calculate the sum of the following
The first 20 Cube Numbers
Σ n Cube Numbers formula:
| S20 = | n2(n + 1)2 |
| 4 |
| S20 = | 202(20 + 1)2 |
| 4 |
| S20 = | 400(21)2 |
| 4 |
| S20 = | 400(441) |
| 4 |
| S20 = | 176400 |
| 4 |
S20 = 44,100
Average (A) of the first 20 Cube Numbers
| A = | Sum of the first 20 Cube Numbers |
| Count |
| A = | 44100 |
| 20 |
Average (A) of the first 20 Cube Numbers = 2205
Sum of the first 20 Cube Numbers
| n | Cn |
|---|---|
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
| 4 | 64 |
| 5 | 125 |
| 6 | 216 |
| 7 | 343 |
| 8 | 512 |
| 9 | 729 |
| 10 | 1000 |
| 11 | 1331 |
| 12 | 1728 |
| 13 | 2197 |
| 14 | 2744 |
| 15 | 3375 |
| 16 | 4096 |
| 17 | 4913 |
| 18 | 5832 |
| 19 | 6859 |
| 20 | 8000 |
Final Answer
S20 = 44,100
Average (A) of the first 20 Cube Numbers = 2205
You have 1 free calculations remaining
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What is the Answer?
S20 = 44,100
Average (A) of the first 20 Cube Numbers = 2205
How does the Sum of the First (n) Numbers Calculator work?
Free Sum of the First (n) Numbers Calculator - Determines the sum of the first (n)
* Whole Numbers
* Natural Numbers
* Even Numbers
* Odd Numbers
* Square Numbers
* Cube Numbers
* Fourth Power Numbers
This calculator has 1 input.
What 7 formulas are used for the Sum of the First (n) Numbers Calculator?
Sum of the first n whole numbers = n(n - 1)/2Sum of the first n natural numbers = n(n - 1)/2
Sum of the first n even numbers = n(n - 1)
Sum of the first n odd numbers = n2
Sum of the first n square numbers = n(n + 1)(2n + 1)/6
Sum of the first n cube numbers = n2(n + 1)2/4
Sum of the first n fourth power numbers = n(n + 1)(2n + 1)(3n2 + 3n - 1)/30
For more math formulas, check out our Formula Dossier
What 7 concepts are covered in the Sum of the First (n) Numbers Calculator?
- even number
- a whole number that is able to be divided by two into two equal whole numbers
- integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... - natural number
- the positive integers (whole numbers)
1, 2, 3, ... - odd number
- a whole number that is not able to be divided by two into two equal whole numbers
- sum
- the total amount resulting from the addition of two or more numbers, amounts, or items
- sum of the first (n) numbers
- whole number
- numbers that include natural numbers and zero
{0, 1, 2, 3, ...}
