The sequence is , where
and
.
(a) Find the first terms of the sequence.
Substitute in
.
.
Similarly,
\.
.
.
.
.
.
.
.
.
(b)
\The sequence is .
Find the first terms of the sequence.
Substitute in
.
.
Similarly,
\.
.
.
.
.
.
.
.
.
(c) Show that .
Consider .
Substitute .
.
.
(d)
\The limit value is .
If ,
.
Therefore, .
The equation is .
Solve the equation.
\The solutions of quadratic equation is .
Here and
.
Here and
are positive.
.
(a) .
(b) .
(c) .
(d) .