A class has 40 students. For flood relief fund each student contributed as many Rupees as the square of his roll number. What is the total collection?

Total collection = 12 + 22 + 32 +.........+ 402Now, we know that,12 + 22 + 32 + .........+ n2 = nn+12n+16So, 12 + 22 + 32 +.........+ 402 = 4040+140×2+16=40×41×816=22140Total collection = Rs 22140

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