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11 September, 22:22

In an A. P, the sum of first ten terms is - 150 and the sum of next 10 terms is - 550. Find the A. P

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  1. 12 September, 01:37
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    S10 = - 150;

    the sum of next 10 terms = S20 - S10 = > - 550 = S20 + 150 = > S20 = - 700;

    S10 = - 150 = > 2a1 + 9r = - 30;

    S20 = - 700 = > 2a1 + 19r = - 70;

    Then 10r = - 40 = > r = - 4, and, 2a1 - 36 = - 30 = > 2a1 = 6 = > a1 = 3;
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