MathematicsIf the first term of an A.P. is −5   and the common difference is 2, then the sum of the first 6  terms is ____.

If the first term of an A.P. is 5   and the common difference is 2, then the sum of the first 6  terms is ____.


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    Solution:

    If the first term of an A.P. is 5  and the common difference is 2, then the sum of the first 6  terms is 0.
    Given,
    a=5 d=2 n=6  
    Calculating the sum,
    S 6 = n 2 2a+ n1 d = 6 2 10+10 =0  
    Therefore, the sum of first 6 terms is 0.
     
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