PDF chapter test TRY NOW
1. The sum of the squares of the first \(n\) natural numbers is 285, while the sum of their cubes is 2025. Determine the value of \(n\).
Answer:
The value of \(n\) \(=\) .
2. Rekha has \(15\) square colour papers of sizes \(10\) \(cm\), \(11\) \(cm\), \(12\) \(cm\), … \(24\) \(cm\). How much area can be decorated with these colour papers?
Answer:
Area can be decoreated \(=\) \(cm^2\)
3. Find the sum of the series \((2^3 - 1) + (4^3 - 3^3) + (6^3 - 5^3) + … \) to:
(i) \(n\) terms \(=\)
(ii) \(12\) terms \(=\)
[Note: Insert variables and numbers in separate boxes]
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