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
What is the Answer?
S10 = 385 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.
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
