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  1. (5² + 6² + 7² + ... + 10²) is equal to
    1. 330
    2. 345
    3. 355
    4. 360
Correct Option: C

Using the given formula ,

1² + 2² + 3² + 4² + ... + n² =
n(n + 1)(2n + 1)
6

∴ 5² + 6² + .... 10² = (1² + 2² + ... + 10²) – (1² + 2² + 3² + 4²)
Here , n = 10 and n = 4
Required answer =
10 × 11 × 21
-
4 × 5 × 9
66

Required answer = 385 – 30 = 355



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