Question

Given the geometric sequence 3,125 over 96 comma negative 625 over 48 comma 125 over 24 comma and continuing comma what is a6?

Answers

  1. The geometric sequence’s sixth term is -1/3.
    The geometric sequence’s sixth term must be found here.
    Given:
    The series is 3125/96, -625/48, 125/24…..
    The following is the formula to determine the nth term in a geometric sequence:
    aₙ= a × rⁿ⁻¹
    where aₙ = nth term of the sequence
    a = first term of the sequence
    r = common ratio
    common ratio(r) = -625/48 ÷ 3125/ 96
                               = -625/48 × 96/3125
                                = -2/5
    Now we have to find the 6th term of the series.
    = 3125/96(-2/5)⁶⁻¹
    = 3125/96(-2/5)⁵
    = 3125/96 × (-32/3125)
    = -32/96
     = -1/3
    Therefore the 6th term is -1/3.
    To know more about the geometric sequence visit:
    brainly.com/question/24643676
    #SPJ1

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