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20 March, 23:41

1.30th term of A. P; 10, 7, 4 ... is

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  1. 21 March, 02:31
    0
    The 30th term of the sequence is - 77

    Step-by-step explanation:

    The formula for finding the nth term of of an AP is expressed as

    Tn = a + (n-1) d

    n is the number of terms of the sequence

    a is the first term

    d is the common difference

    Given the AP 10, 7, 4 ...

    The first term a = 10

    number of term = 30 (since we are looking for the 30th term of the sequence)

    d = 7-10 = 4-7 = - 3

    on substitution;

    T30 = 10 + (30-1) * -3

    T30 = 10+29 (-3)

    T30 = 10-87

    T30 = - 77

    The 30th term of the sequence is - 77
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