The eleventh term of the sequence .
The first term of the sequence is .
So, .
Find the common ratios of the consecutive terms.
\
The ratios are constant.
\So, the sequence is geometric.
\The common ratio is .
th term of a geometric sequence:
.
Find the th term of this sequence:
(Substitute
and
)
Find the eleventh term of the sequence:
\ (Substitute
)
(Subtract:
)
(Evaluate powers:
)
(Multiply:
)
The eleventh term of the sequence is .