Question

What is the common ratio of the geometric sequence whose first term
is 27 and fourth term is 64?
(1) 3/4
(3) 4/3
(3) 64/81
(4) 37/3

Answer 1

Ok so in a geometric sequence, remember that each term is something multiplied by the last term, and that this something doesn't change.

If the first term is 27, then
\[27*x\] gives the second term,
\[27*x*x\] gives the third term,
\[27*x*x*x\] gives the fourth term.
Thus,
\[27*x*x*x=64\]
\[x^3=64/27\]
\[x=4/3\]

Answer 2

okay great thanks!