Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

2 Answer

  • [tex]a_5=ra_4=r^2a_3=r^3a_2[/tex]
    [tex]2304=-36r^3\implies r=-4[/tex]

    Since [tex]a_2=ra_1\implies -36=-4a_1\implies a_1=9[/tex], the sequence takes the form

  • Answer:


    Step-by-step explanation:

    Substitute the value of n for the nth term


    Subtract 1 from 2


    Multiply 9 by 4


    This is the only option from the choices that has a second term of 36 so it is the only option that satisfies the requirements.