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Which term of the sequence 114,109,104....is …

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Which term of the sequence 114,109,104....is the first negative term

    • Posted by Krishna Bansal 7 years, 2 months ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Yogita Ingle 7 years, 2 months ago

    a = 114, d= -5

    nth term = a+(n-1)d

    according to the question we need to find a term so that :

    a+(n-1)d < 0

    114 + (n-1)(-5) < 0

    114 -5n + 5 < 0

    119 - 5n < 0

    119 < 5n

    23.8 < n

    or we can say from 24th term all terms will be negative.
    a24 = a + 23d

    = 114 + 23( - 5 )

    = 114 - 115

    = -1 ( negative number )

    1Thank You

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