Calculate the sum of the following
The first 10 Square Numbers
Σ n Square Numbers formula:
| S10 = | n(n + 1)(2n + 1) |
| 6 |
| S10 = | 10(10 + 1)(2(10) + 1) |
| 6 |
| S10 = | 10(11)(20 + 1) |
| 6 |
| S10 = | 10(11)(21) |
| 6 |
| S10 = | 2310 |
| 6 |
S10 = 385
Average (A) of the first 10 Square Numbers
| A = | Sum of the first 10 Square Numbers |
| Count |
| A = | 385 |
| 10 |
Average (A) of the first 10 Square Numbers = 38.5
Sum of the first 10 Square Numbers
| n | Sn |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
Final Answer
S10 = 385
Average (A) of the first 10 Square Numbers = 38.5
Average (A) of the first 10 Square Numbers = 38.5
What is the Answer?
S10 = 385
Average (A) of the first 10 Square Numbers = 38.5
Average (A) of the first 10 Square Numbers = 38.5
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.
* 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)/2
Sum 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
Sum 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
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, ...}
