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

Find the value of:

6^{2} + 7^{2} + 8^{2} + ... + 17^{2}

Answer:

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

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

6^{2} + 7^{2} + 8^{2} + ... + 17^{2}

\(=\) \((1^2 + 2^2 + 3^2 + ... 17^2)\)

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

\(=\) \(-\)

\(=\)

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9. PYQ - Find the sum of the squares