PYQ - Find the sum of the cubes — task. Maths TNSB Mentoring, Class 10 Crash course.

Find the sum of:

7^{3} + 8^{3} + 9^{3} + ... + 24^{3}

Answer:

We know that, the sum of the cubes of first \(n\) natural numbers \(=\)

{(\frac{i (i + i)}{i})}^{i}

7^{3} + 8^{3} + 9^{3} + ... + 24^{3}

\(=\) \((1^3 + 2^3 + 3^3 + ... 24^3)\) \(-\)

(1^{3} + 2^{3} + 3^{3} + 4^{3} + 5^{3} + 6^{3})

\(=\) \(-\)

\(=\)

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7. PYQ - Find the sum of the cubes