Question

Someone please send me the correct answer and correct explanation. pls...question is in the pic...​

Answer 1

Answer:

3025

Step-by-step explanation:

1³ + 2³ + 3³ + 4³ = (1 + 2 + 3 + 4)²

1³ + 2³ + 3³ + 4³ + 5³ = (1 + 2 + 3 + 4 + 5)²

1³ + 2³ + 3³ + 4³ + 5³ + 6³ = (1 + 2 + 3 + 4 + 5 + 6)²

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1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³ + 10³ = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)²

We know the formula for the sum of N natural numbers = n(n+1) / 2

So, for n = 10

= 10(10+1)/2

= 10*11/2

= 110/2

= 55

Now,

1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³ + 10³ = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)²

=> 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³ + 10³ = (55)²

=> 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³ + 10³ = 3025