arithmetic

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If 10 times the 10
th
term of an AP is equal to 15 times its 15
th
term, show that its25
th
term is zero.

  • arithmetic -

    T10 = a+9d
    T15 = a+14d

    10(a+9d) = 15(a+14d)
    10a + 90d = 15a + 210d
    5a = -120d
    a = -24d

    T25 = a + 24d = -24d + 24d = 0

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