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Deepak Bora
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Find the sum of the following A.P. − 37, − 33, − 29 ,…, to 12 terms.

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The question is given from ncert Book of class 10th Chapter no. 5 Ex. 5.3 Q. 1 (ii). In the following question you have to find The sum of the A.P given above in the question give the answer of the question briefly.

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  1. Given, −37, −33, −29 ,…, to 12 terms

    For this A.P.,

    first term, a = −37

    And common difference, d = a2− a1

    d= (−33)−(−37)

    = − 33 + 37 = 4

    n = 12

    We know that, the formula for sum of nth term in AP series is,

    Sn = n/2 [2a+(n-1)d]

    S12 = 12/2 [2(-37)+(12-1)×4]

    = 6[-74+11×4]

    = 6[-74+44]

    = 6(-30) = -180

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