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How many terms of the arithmetic …

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How many terms of the arithmetic progression 45,39,33.....must be taken so that aum is 180?explain the double answer.

    • Posted by Vanshika Singh 3 years, 2 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Vikhyat Wahi 3 years, 2 months ago

    Sn = 180 n/2 [90 + (n - 1)(-6)] = 180 90n – 6n2 + 6n = 360 ⇒ 6n2 – 96n + 360 = 0 ⇒ 6[(n – 6)(n – 10)] = 0 ⇒ n = 6, n = 10 Sum of a7, a8, a9, a10 = 0 ∴ n = 6 or n = 10

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