SOLUTION: IF 3(5/9) AND 40(1/2) ARE THE FIRST AND THE LAST TERMS RESPECTIVELY, OF A GEOMETRIC SEQUENCE, DETERMINE THE VALUE(S) OF THE FIFTH TERM IF THERE ARE SEVEN TERMS IN A SEQUENCE

Algebra ->  Sequences-and-series -> SOLUTION: IF 3(5/9) AND 40(1/2) ARE THE FIRST AND THE LAST TERMS RESPECTIVELY, OF A GEOMETRIC SEQUENCE, DETERMINE THE VALUE(S) OF THE FIFTH TERM IF THERE ARE SEVEN TERMS IN A SEQUENCE      Log On


   



Question 945179: IF 3(5/9) AND 40(1/2) ARE THE FIRST AND THE LAST TERMS RESPECTIVELY, OF A GEOMETRIC SEQUENCE, DETERMINE THE VALUE(S) OF THE FIFTH TERM IF THERE ARE SEVEN TERMS IN A SEQUENCE
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
b%5B1%5D=3%265%2F9=32%2F9 is the first term of a geometric sequence with 7 terms with common ratio r .
b%5B7%5D=b%5B1%5D%2Ar%5E6=40%261%2F2=81%2F2 is the last and seventh term of that same sequence.
.
So, system%28r=3%2F2%2C%22or%22%2Cr=-3%2F2%29 .
Either way, the fifth term is
.