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    The value of 1+2+3+...+30+31+30+29+...+3+2+1 =?
    Question

    The value of 1+2+3+...+30+31+30+29+...+3+2+1 =?

    A.

    961

    B.

    1000

    C.

    999

    D.

    900

    Correct option is A

    Given:
    1+2+3+...+30+31+30+29+...+3+2+1=​1+2+3+...+30+31+30+29+...+3+2+1 =​​
    Formula Used:
    Sum of first n natural numbers = n × (n + 1)/2

    Solution:
    (1 + 2 + 3 + ........... + 29 + 30+ 31) + (30 + 29 + 28 + .......... + 3 + 2 + 1)
    => [31×(31+1)2]+[30×(30+1)2]\left[\frac{31 \times (31 + 1)}{2}\right] + \left[\frac{30 \times (30 + 1)}{2}\right]​​

    => (16 × 31) + (31 × 15)
    => 31 (16 + 15)

    => 961

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