Post a New Question

math

posted by on .

the third term of a geometric sequence is t3= -75 and the sixth term is t6= 9375. determine the first term and the common ratio

  • math - ,

    For a geometric series,
    the nth term is
    t(n)=arn

    So
    t(3)=ar³
    t(6)=ar6
    t(6)/t(3)
    = ar6 / ar³
    = r6-3
    = r³

    Solve for r in
    r³=9375/(-75)
    r=(-125)1/3
    =-5

    A = t(3)/r³
    = -75/(-5)³
    = 3/5

    and first term
    = t(1)
    = Ar
    = 3/5(-5)
    = -3

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question