leontina1710 leontina1710

12-03-2021
Mathematics

contestada

S = 1^2+ 2^2 + 3^2 + ... + 2019^2 + 2020^2
what is the sum of S?

Respuesta :

sqdancefan sqdancefan

13-03-2021

9514 1404 393

Answer:

2,749,509,870

Step-by-step explanation:

The formula for the sum of n squares is ...

Sn = n(n+1)(2n+1)/6

For 2020 squares, the sum is ...

S2020 = 2020(2021)(4041)/6 = 2,749,509,870

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