Find the specified value for the arithmetic sequences with the given characteristics. a17 = 47 d = -3 a35= ?

Question

Find the specified value for the arithmetic sequences with the given characteristics. a17 = 47 d = -3 a35= ?

in progress 0
Aubrey 2 weeks 2021-11-20T18:36:22+00:00 1 Answer 0

Answers ( )

    0
    2021-11-20T18:37:53+00:00

    ANSWER

    The 35th term is -8

    EXPLANATION

    The nth term of an arithmetic sequence is given by

    a_n = a_1 + d( n - 1)

    We have the 17th term to be;

    a_{17}=47

    and the common difference is d=-3

    We substitute to get:

    47= a_1 +  - 3(1 7- 1)

    47= a_1 + 16( - 3)

    47= a_1 - 48

    a_1  = 48 + 47 = 95

    We can now find the 35th term:

    a_{35}=a_{1} + 34d

    a_{35}=95 + 34( - 3) =  - 8

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )