which of the term of AP. 3, 10, 17… will be 84 more than its 13 th term​

Question

which of the term of AP. 3, 10, 17…
will be 84 more than its 13 th term​

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Arianna 3 weeks 2021-10-05T06:12:09+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-05T06:13:50+00:00

    Step-by-step explanation:

    Given: A.P: 3,10,17….

    To find: a13+84=an, n=?

    In A P:

    a=3,

    d=second term-first term

    => 10-3=7.

    Formula of nth term of an A.P:

    an = a + (n - 1) \times d

    => A13=3+(13-1)×7

    => 3+12×7.

    => 3+84

    A13=87.

    An=a13+84

    => 87+84

    => 171.

    171=3+(n-1)×7

    171-3=(n-1)×7

    168/7=n-1

    24+1=n.

    25=n.

    It is 25th term of the A.P.

    0
    2021-10-05T06:13:57+00:00

    Answer:

    25 th term

    Step-by-step explanation:

    13 th term = a+(13-1)d

    = a+12d

    = 3+12*7 ( d= difference between terms)

    =3+84

    =87

    which term will be 84 more than 13 th term

    let that term be n th

    =>n th term = 13th + 84

    =>87+84

    =>171

    by formula, n th term = a+(n-1) *d;

    =>171 = 3+(n1)*7

    =>171 = 3+7n7

    =>171 = 4+7n

    =>171+4 = 7n

    =>175 = 7n

    =>n = 175/7

    =>n = 25 th term

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18:9+8+9*3-7:3-1*13 = ? ( )