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Rajan@2021
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Find the sum of the following APs: (i) 2,7,12,…, to 10 terms.(iv) 1/15, 1/21, 1/10​ ,…., to 11 terms.

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One of the basic question from Arithmetic Progression Chapter of ML Aggarwal and we have to asked to determine Find the sum of the following APs: (i) 2,7,12,…, to 10 terms.(iv) 1/15, 1/21, 1/10​ ,…., to 11 terms.

 

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  1. (i) 2,7,12...... to 10th term

    Here a=2,n=10

    And d=72=5

    Sn=2n[2a+(n1)d]

    S10=210[2(2)+(101)5]=5(4+9×5)=245

    (ii)151,121,101....... to 11th term

    a=151n=11

    d=121151=6054=601

    S11=211[2(151+(111)601)]

            = 211(152+6010)

            = 211×309=2033

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