l Sum of the first 10 Square Numbers

Enter n:

Sum of the First
              

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