Question

Please Solve it With step.........​

Answer 1

Answer:

(1³+2³+3³.............n³)= [ n(n+1/2 ] ²

To prove the above statement first compare the relationship between cube and square

cubes; answer; square; answer;

1³ 1 1² 1

1³+2³ 1+8=9 3² 9

1³+2³+3² 1+7+27 6² 36

=36

consider n as 1 ;

n³ = [ n(n+1) ] ²

1³ = [ 1(1+1²)]²

= [ 1 ( 2/2 ) ] ²

= 1×1

= 1

Hence,

Proved 1³+2³+3³...............n³= [ n(n+1)/2 ]²