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Find the following sums : (i) 1 + 2 +...

Find the following sums :
`(i) 1 + 2 + 3 + …+ 30`
(ii) ` 1^(2) + 2^(2) + 3^(2) + …+35^(2)`
(ii)`1^(3) + 2^(3) + 3^(3) +…+ 20^(3)` .

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To solve the given sums, we will use specific formulas for the sums of natural numbers, squares of natural numbers, and cubes of natural numbers. ### Solution: **(i) Find the sum of the first 30 natural numbers:** The formula for the sum of the first \( n \) natural numbers is: \[ ...
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AAKASH INSTITUTE ENGLISH-SEQUENCES AND SERIES -Try Yourself
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