ID: 340
Provide a formula for computing the nth term in the given sequence 5, 14, 23, 32, 41, ...
Aligned LLM's Response:
The
given
sequence
is
the
F
ib
on
acci
sequence
,
in
which
each
term
is
the
sum
of
the
two
preceding
terms
.
The
n
th
term
in
the
F
ib
on
acci
sequence
can
be
computed
using
the
formula
:
\n
\n
F
(
n
)
=
(
phi
^
n
-
(-
phi
)^
(-
n
))
/
sq
rt
(
5
)
\n
\n
where
ph
i
is
the
golden
ratio
,
approximately
equal
to
1
.
6
1
8
0
3
3
9
8
8
7
4
9
8
9
5
.
\n
\n
To
compute
the
n
th
term
in
the
F
ib
on
acci
sequence
,
you
can
use
a
loop
to
iterate
through
the
terms
and
update
the
value
of
ph
i
for
each
iteration
.
Here
'
s
an
example
in
Python
:
\n
```
python
\n
def
fib
on
acci
(
n
):
\n
ph
i
=
(
1
.
0
+
math
.
sqrt
(
5
.
0
))
/
2
.
0
\n
a
,
b
=
0
,
1
\n
result
=
[]
\n
for
i
in
range
(
n
):
\n
result
.
append
(
a
)
\n
a
,
b
=
b
,
a
+
b
\n
return
result
\n
```
\n
This
function
takes
an
integer
`
n
`
as
input
and
returns
a
list
of
`
n
`
F
ib
on
acci
numbers
.
You
can
call
it
with
`
f
ib
on
acci
(
1
0
)`
to
get
the
1
0
th
term
in
the
F
ib
on
acci
sequence
.
</s>
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