Which term of the A.P: – 45, – 41, – 37, ……….. is its first positive term? ​

Question

Which term of the A.P: – 45, – 41, – 37, ……….. is its first positive term? ​

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Madeline 1 month 2021-08-13T07:23:51+00:00 2 Answers 0 views 0

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    0
    2021-08-13T07:25:12+00:00

    Answer:

    -37 is the first positive term I think so…

    0
    2021-08-13T07:25:44+00:00

    Answer:

    Thirteenth term

    Step-by-step explanation:

    As we know that the moment the term is zero the very next term will be positive  

    Thus

    a = -45

    d = -41 - (-45) = - 41 + 45 = 4

    t_{n} = 1

    We know that

    t_{n} = a + (n - 1)d

    1 = -45 + (n – 1)(4)

    46 = (n – 1)(4)

    n – 1 = 46/4

    Since it is in fraction which means 1 is not the positive term

    Now we will try with 2 and so on until the value of n comes in a whole number

    Lets try with 3 this time

    a = -45

    d  = 4

    t_{n} = 3

    We know that

    t_{n} = a + (n - 1)d

    3 = – 45 + (n – 1)(4)

    3 + 45 = (n – 1)(4)

    48/4 = n-1

    12 = n – 1

    n = 13

    Thus thirteenth term of this AP will be a positive term

    I hope this helps you……….

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