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4
3
2
1
Grade 11
/ Algorithms
5 exercises (including 4 corrected)
a
Sum of the terms of a sequence
(2 exercices)
1.
Sum
of
the
terms
of
a
se
quenc
e
E.8169
1
a
En
ter
the
algorithm
b
elo
w
in
Python
:
a=2;
for
i
in
range(0.10):
a=a*2;
print(a);
b
The
v
alues
successiv
ely
tak
en
b
y
the
v
ariable
a
dur-
ing
the
execution
of
this
algorithm
are
the
terms
of
a
sequence,
noted
u
n
whose
nature
and
c
haracteristic
elemen
ts
will
b
e
sp
ecified.
c
Giv
e
the
ranks
of
the
terms
displa
y
ed
b
y
the
algorithm.
d
Mo
dify
the
algorithm
so
that
it
displa
ys
all
terms
from
rank
0
to
rank
20
.
2
a
En
ter
the
algorithm
b
elo
w
in
Python
:
S=0;
a=2;
for
i
in
range(0.10):
a=a*2;
S=S+a
print(S);
b
What
is
the
v
alue
displa
y
ed
b
y
the
algorithm?
c
Whic
h
of
the
sums
b
elo
w
corresp
onds
to
the
v
alue
of
the
v
ariable
S
at
the
end
of
the
algorithm’s
execution.
9
k
=0
u
k
10
k
=0
u
k
9
k
=1
u
k
10
k
=1
u
k
3
Mo
dify
the
algorithm
to
obtain
the
v
alue
of
the
follo
wing
sums
:
a
20
k
=10
u
k
b
8
k
=0
3
·
u
k
c
10
k
=0
u
2
k
E.8170
1
a
En
ter
the
algorithm
giv
en
b
elo
w
in
pseudo
colde
in
the
Python
language
:
a
←
2
For
i
ranging
from
0
to
10
a
←
a
+
2
;
End
For
b
The
v
alues
successiv
ely
tak
en
b
y
the
v
ariable
a
dur-
ing
the
execution
of
this
algorithm
are
the
terms
of
a
sequence,
noted
u
n
whose
nature
and
c
haracteristic
elemen
ts
will
b
e
sp
ecified.
c
Giv
e
the
ranks
of
the
terms
in
the
sequence
u
n
as-
signed
to
the
v
ariable
a
during
the
execution
of
this
algorithm.
2
a
En
ter
the
algorithm
b
elo
w
in
Python
:
S
←
0
a
←
2
For
i
ranging
from
0
to
10
a
←
a
+
2
;
S
←
S
+
a
End
For
b
What
is
the
v
alue
of
the
v
ariable
S
at
the
end
of
the
execution
of
this
algorithm.
c
Whic
h
of
the
sums
b
elo
w
corresp
onds
to
the
v
alue
of
the
v
ariable
S
at
the
end
of
the
algorithm’s
execution.
9
k
=0
u
k
10
k
=0
u
k
11
k
=0
u
k
9
k
=1
u
k
10
k
=1
u
k
11
k
=1
u
k
3
Mo
dify
the
algorithm
to
obtain
the
v
alue
of
the
follo
wing
sums
:
a
20
k
=10
u
k
b
8
k
=0
3
·
u
k
c
10
k
=0
u
2
k
2.
Unclassifie
d
financial
ye
ars
E.6473
1
a
In
AlgoBo
x,
en
ter
the
follo
wing
algorithm
:
a
←
2
For
i
ranging
from
0
to
4
a
←
a+3
End
For
b
P
erforming
a
step-b
y-step
execution,
note
the
succes-
siv
e
v
alues
tak
en
b
y
the
v
ariable
a
:
.
.
.
;
.
.
.
;
.
.
.
;
.
.
.
;
.
.
.
;
.
.
.
2
a
Mo
dify
the
algorithm
so
that
the
successiv
e
v
alues
tak
en
b
y
the
v
ariable
a
are
:
2
;
6
;
10
;
14
;
18
;
22
b
Mo
dify
the
algorithm
so
that
the
successiv
e
v
alues
tak
en
b
y
the
v
ariable
a
are
:
5
;
10
;
15
E.7290
Consider
the
sequence
u
n
defined
b
y
:
u
0
=
0
;
u
n
+1
=
0.8
·
u
n
+
0.1
for
an
y
n
∈
N
∗
1
a
En
ter
the
algorithm
b
elo
w
:
u
←
0
For
i
from
1
to
n
u
←
0.8
×
u
+
0.1
End
For
b
With
the
v
ariable
n
taking
a
strictly
p
ositiv
e
in
teger
v
alue,
describ
e
the
action
and
purp
ose
of
this
algo-
rithm
as
a
function
of
the
v
alue
of
the
v
ariable
n
.
c
What
is
sp
ecial
ab
out
the
terms
in
the
sequence
u
n
?
2
a
En
ter
the
algorithm
b
elo
w
:
u
←
0
n
←
0
As
long
as
u
<
0.499
u
←
0.8
×
+
0.01
n
←
n
+
1
h
ttps:/
/c
hingmath.fr
sacados/8169
chapExoCorrec/8170
sacados/8170
chapExoCorrec/6473
sacados/6473
chapExoCorrec/7290
sacados/7290
End
As
long
as
b
What
is
the
purp
ose
of
this
algoritme?
E.7291
A
compan
y
pro
duces
bacteria
for
industry
.
In
the
lab
oratory
,
it
has
b
een
measured
that,
in
a
suitable
n
utrien
t
medium,
the
mass
of
these
bacteria,
mea-
sured
in
grams,
increases
b
y
20
%
in
one
da
y
.
The
compan
y
sets
up
the
follo
wing
industrial
device.
In
a
tank
of
n
utrien
t
medium,
1
k
g
of
bacteria
are
initially
in
tro
duced.
Then,
at
a
fixed
time
eac
h
da
y
,
the
n
utrien
t
medium
con
tained
in
the
tank
is
replaced.
During
this
op-
eration,
100
g
of
bacteria
are
lost.
The
compan
y
sets
itself
the
target
of
pro
ducing
30
k
g
of
bac-
teria.
The
ev
olution
of
the
bacteria
p
opulation
in
the
tank
is
mo
d-
eled
b
y
the
sequence
u
n
defined
as
follo
ws
:
u
0
=
1
000
;
u
n
+1
=
1.2
·
u
n
−
100
The
compan
y
w
an
ts
to
kno
w
after
ho
w
man
y
da
ys
the
bacte-
ria
mass
will
exceed
30
k
g
.
The
follo
wing
algorithm
can
b
e
used
to
answ
er
the
problem
p
osed.
Cop
y
and
complete
this
algorithm.
V
ariables
:
u
and
n
are
n
um
b
ers.
Pro
cessing
:
u
tak
es
the
v
alue
1
000
n
tak
es
the
v
alue
0
As
long
as
.
.
.
.
.
.
do
u
tak
es
the
v
alue
.
.
.
n
tak
es
the
v
alue
n
+1
Fin
As
long
as
Output
:
Displa
y
.
.
.
.
.
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7291
sacados/7291
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