Question

1^3+2^3+3^3+.........+20^3

Answer 1

Answer:

44100

Step-by-step

We have  direct formula for these type of questions

which is = (n(n+1)/2)^2

hence by applying the formula

we get

(20(20+1)/2)^2

=(10(21))^2

=(210)^2

=44100

Answer 2

the short trick to find the sum of the cubes from 1 is as below.

1³ + 2³ + 3³ + ...... + 20³

= [ 20 × ( 20 + 1 ) / 2 ]²

= ( 20 × 21 / 2 )² = ( 21 × 10 )²

210 ² = 44100

therefore 1³ + 2³ + 3³ + ...... + 20³ = 44100

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