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The sum of first n term …

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The sum of first n term of three APS are are S1 S2 and S3 the first term of each ap is is unity and there common difference are 1 ,2 and 3 respectively then prove that as S1 +S 3 = 2S3

    • Posted by Suraj Ku 5 years, 3 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 3 months ago

    To prove:

    Solution:

    Given: The sum of first ‘n’ terms of three AP's are . The ‘first term’ of each is 5 and their common differences are 2, 4 and 6 respectively.  

    Formula of summation of an A.P

    whereas  = Summation till n terms.

    a = First term of sequence

    d = Common Difference

    Now, using this formula, we get  

    Thus, we need to add  to prove that 

                                  

    Thus, .

    Hence proved.

    1Thank You

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