S = 1×2 + 2×5 + 3×10 + ?
S = 1×2 + 2×5 + 3×10 + . 10×101 Halla la suma.
S = 1×2 + 2×5 + 3×10 + . 10×101 Halla la suma.
En resumen
<img src="https://tex.z-dn.net/?
Calondono
<img src="https://tex.z-dn.net/?f=S%3D1%281%5E2%2B1%29%2B2%282%5E2%2B1%29%2B3%283%5E2%2B1%29%2B%5Ccdots%2B10%2810%5E2%2B1%29%5C%5C%20%5C%5C%0AS%3D%281%5E3%2B1%29%2B%282%5E3%2B2%29%2B%283%5E3%2B3%29%2B%5Ccdots%2B%2810%5E3%2B10%29%5C%5C%20%5C%5C%0AS%3D%281%5E3%2B2%5E3%2B3%5E3%2B%5Ccdots%2B10%5E3%29%2B%281%2B2%2B3%2B%5Ccdots%2B10%29%5C%5C%20%5C%5C%0AS%3D%5Cleft%28%5Cdfrac%7B10%5Ctimes%2011%7D%7B2%7D%5Cright%29%5E2%2B%5Cdfrac%7B10%5Ctimes%2011%7D%7B2%7D%5C%5C%20%5C%5C%0AS%3D55%5E2%2B55%5C%5C%20%5C%5C%0A%5Cboxed%7BS%3D3080%7D%0A" />.
Descomponemos 48 en producto de sus factores primos 48 | 2 24 | 2 12 | 2 6 | 2 3 | 3 1 48 = 2⁴×3 Sd48 = A continuación te calculo la suma de todos los divisores de 48, para que puedas comprobarlo 1 + 2 + 3 + 4 + 6 + 8 +…
D(90) = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 30 + 45 + 90 = 234.