Math, asked by Dibyanshu9288, 1 year ago

1 Cube + 3 cube + 5 cube + dotdotdot 19 cube​

Answers

Answered by fangirl22
0

what to find in this series??

Answered by avku
3

Answer:

Step-by-step explanation:

1³ = 1

1³+2³=9

1³+2³+3³=36

1³+2³+3³+4³=100

1³+2³+3³+4³+5³=225

It seems that the sum is always square, but what is even more remarkable is that the sum of the first n cubes, 1³+2³+...+n³ = (n(n+1)/2)2

For example, 1³+2³+...+10³

=(10×11/2)²=55² = 3025.

So 1³+2³+......+19³=

=> (19×20/2)²

=> 190²

=> 36100

Mark as brainliest answer

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