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  1. The sum 9 + 16 + 25 + 36 + .... + 100 is equal to :
    1. 350
    2. 380
    3. 400
    4. 420
Correct Option: B

As per the given question ,
Sum = 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 = 380
Second method to find the required answer with the help of formula :
Sn = 9 + 16 + 25 + ......... + 100
Sn = 3² + 4² + 5² + .......... + 10²
Sn = (1² + 2² + 3² + 4² +......+10²) – 1² – 2²

Sn =
n(n + 1)(2n + 1)
- 5
6

Sn =
10(10 + 1)(2 × 10 + 1)
- 5
6

Sn =
10 × 11 × 21
- 5
6

Sn = 55 × 7 – 5 = 385 – 5 = 380



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