1 Cube + 3 cube + 5 cube + dotdotdot 19 cube
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what to find in this series??
Answered by
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
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