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AnilSinghBora
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Find the sums given below: (iii) − 5 + (− 8) + (− 11) + ………… + (− 230) Q.2(3)

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The best way to solve the problem of arithmetic progressions of exercise 5.3 of class 10th math how to solve this problem Find the sums given below: (iii) − 5 + (− 8) + (− 11) + ………… + (− 230)

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  1. Given, (−5) + (−8) + (−11) + ………… + (−230)

    For this A.P.,

    First term, a = −5

    nth term, an= −230

    Common difference, d = a2−a1 = (−8)−(−5)

    ⇒d = − 8+5 = −3

    Let −230 be the nth term of this A.P., and by the nth term formula we know,

    ana+(n−1)d

    −230 = − 5+(n−1)(−3)

    −225 = (n−1)(−3)

    (n−1) = 75

    n = 76

    And, Sum of n term,

    Sn = n/2 (a + l)

    = 76/2 [(-5) + (-230)]

    = 38(-235)

    = -8930

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