Five marks exercise problems II — task. Mathematics State Board, Class 10.

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1. If

1 + 2 + 3 + ... + k

\(=\) 325, then find

1^{3} + 2^{3} + 3^{3} + ... + k^{3}

Answer:

1^{3} + 2^{3} + 3^{3} + ... + k^{3}

\(=\) .

2. If \(1^3 + 2^3 + … + k^3\) \(=\) \(44100\), then find \( 1+ 2 + 3 + … + k\).

Answer:

\( 1+ 2 + 3 + … + k\) \(=\)

3. How many terms of the series \(1^3 + 2^3 + 3^3 + …\) should be taken to get the sum of \(14400\)?

Answer:

Number of terms should be taken \(=\)

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5. Five marks exercise problems II