MathMagic Equation - www.mathmagic.com
QCM
Suites
n
u
m
é
r
i
q
u
e
s
Q
u
e
s
t
i
o
n
1
:
la
suite
de
terme
g
é
n
é
r
a
l
u
n
n
∊
N
*
=
cos
1
n
n
2
tend
vers
:
□
+
∞
□
e
□
1
2
e
☑
e
−
1
2
□
n
'
a
d
m
e
t
pas
de
limite
Q
u
e
s
t
i
o
n
2
:
Soit
la
suite
u
n
n
∊
N
*
=
1
+
1
2
+
1
3
+
...
+
1
n
□
la
suite
u
n
est
convergente
□
la
suite
u
n
est
positive
□
la
suite
u
n
est
m
a
j
o
r
é
e
☑
la
suite
u
n
est
croissante
Q
u
e
s
t
i
o
n
3
:
La
somme
S
=
∑
n
=
1
+
∞
n
5
n
vaut
:
□
1
4
□
4
5
☑
5
16
□
1
16
Q
u
e
s
t
i
o
n
4
:
Soit
la
suite
de
terme
g
é
n
é
r
a
l
a
n
=
a
2
n
−
1
+
a
2
n
+
1
2
,
∀
n
≥
1
☑
la
suite
a
n
est
constante
ou
divergente
□
la
suite
a
n
est
arithmetique
□
la
suite
a
n
est
g
é
o
m
e
t
r
i
q
u
e
□
On
peut
pas
en
conclure
Q
u
e
s
t
i
o
n
5
:
La
suite
x
n
n
∊
N
definit
par
x
n
=
π
−
n
−
π
10
est
:
□
b
o
r
n
é
e
□
croissante
□
convergente
☑
d
é
c
r
o
i
s
s
a
n
t
e
Q
u
e
s
t
i
o
n
6
On
note
S
n
=
v
0
+
v
1
+
...
+
v
n
pour
tout
n
∊
N
avec
v
n
=
ln
n
+
2
n
+
3
Alors
:
□
lim
n
→
+
∞
S
n
=
0
□
lim
n
→
+
∞
S
n
=
1
□
lim
n
→
+
∞
S
n
=
2
□
lim
n
→
+
∞
S
n
=
3
☑
lim
n
→
+
∞
S
n
=
−
∞
Q
u
e
s
t
i
o
n
7
Soit
la
suite
α
n
d
é
f
i
n
i
e
par
α
n
=
n
−
n
+
a
n
+
b
avec
a
,
b
∊
R
On
a
alors
:
□
lim
n
→
+
∞
α
n
=
a
−
b
□
lim
n
→
+
∞
α
n
=
−
a
+
b
☑
lim
n
→
+
∞
α
n
=
−
a
+
b
2
□
lim
n
→
+
∞
α
n
=
a
+
b
Q
u
e
s
t
i
o
n
8
∑
k
=
1
n
−
2
n
−
k
C
n
k
vaut
:
□
1
−
−
1
n
□
1
−
−
2
n
□
0
☑
−
1
n
−
−
2
n
□
−
1
n
+
−
2
n
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