Question

1^3_2^3+3^3_....+9^3 the sum of the series

Answer 1

its the summation of cube
((n)(n+1)/2)²
((9*10)/2)²
45²=2025

Answer 2

Given,
1³ + 2³ +3³ ..............9³
The sum following series is given by formula

${ \frac{ {n} (n + 1)}{2}}^{2}$
Putting n= 9
We get,
→{9²(9+1)²}/2²

→ {81*10²}/4

→ {81*100}/4

→81*25

→2025