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3
2
1
Grade 11 - STMG
/ Further developments
11 exercises (100% corrected)
a
Reminders
(5 exercices)
Representation
(1 exercice)
Variations of arithmetic sequences
(1 exercice)
Variations of geometric sequences
(1 exercice)
Evolution studies
(3 exercices)
3
u
0
×
2
u
1
×
2
u
2
×
2
u
3
×
2
u
4
−
2
v
0
v
1
v
2
v
3
v
4
n
0
10
20
30
40
50
u
n
-2
-1
1
2
3
4
1.
R
eminders
E.7823
The
follo
wing
are
incomplete
sequences
of
n
um
b
ers
:
a
(
2
;
5
;
8
;
11
;
14
;
:
:
:
)
b
(
2
;
6
;
18
;
54
;
162
;
:
:
:
)
c
(
6
;
−
6
;
6
;
−
6
;
6
;
:
:
:
)
d
(
1
;
3
;
7
;
15
;
31
;
:
:
:
)
e
1
;
1
2
;
1
3
;
1
4
;
1
5
;
:
:
:
Complete
the
follo
wing
three
terms
in
eac
h
of
these
sequences.
E.7822
In
this
exercise,
the
sequences
are
de-
fined
for
a
p
ositiv
e
in
teger
or
zero
v
alue
of
n
(
n
∈
N
)
:
1
The
terms
of
a
u
n
v
erify
the
follo
wing
diagram
:
a
Complete
the
diagram
ab
o
v
e
to
obtain
the
v
alue
of
the
terms
u
1
,
u
2
,
u
3
,
u
4
of
the
sequence
u
n
.
b
Among
the
prop
osals
b
elo
w,
what
will
b
e
the
v
alue
of
term
u
10
:
u
10
=
2
×
3
×
10
;
u
10
=
+2
×
3
10
u
10
=
3
×
2
10
;
u
10
=
3
+
2
×
10
2
The
terms
of
a
v
n
v
erify
the
follo
wing
diagram
:
a
Complete
the
diagram
ab
o
v
e
to
obtain
the
v
alue
of
the
terms
v
1
,
v
2
,
v
3
,
v
4
of
the
sequence
v
n
.
b
Among
the
prop
ositions
b
elo
w,
what
will
b
e
the
v
alue
of
the
term
v
10
:
v
10
=
−
2
+
3
×
10
;
v
10
=
3
−
2
×
10
v
10
=
3
×
(
−
2
10
)
;
v
10
=
−
3
+
×
10
E.7813
A
job
seek
er
is
offered
t
w
o
options
:
An
initial
salary
of
1150
euros
p
er
mon
th
and
a
raise
of
5
%
p
er
mon
th.
W
e
note
a
n
the
con
tin
uation
of
these
mon
thly
earnings
with
this
prop
osal.
An
initial
salary
of
1200
euros
p
er
mon
th
and
an
increase
of
3
%
p
er
mon
th.
W
e
note
b
n
the
con
tin
uation
of
these
mon
thly
incomes
with
this
prop
osal.
1
Complete
the
table
b
elo
w
b
y
rounding
the
v
alues
of
the
terms
to
the
nearest
h
undredth.
n
0
1
2
3
4
a
n
b
n
2
a
A
t
the
end
of
5
ième
mon
ths,
whic
h
prop
osal
offers
the
most
adv
an
tageous
salary?
b
Based
on
the
amoun
t
receiv
ed
at
the
end
of
fiv
e
mon
ths,
whic
h
prop
osal
is
the
most
adv
an
tageous?
E.7820
Consider
the
sequence
u
n
defined
for
an
y
in
teger
n
p
ositiv
e
or
zero
b
y
:
u
n
=
n
+
6
n
+
1
1
Determine
the
exact
v
alue
of
the
follo
wing
terms
:
u
2
;
u
4
;
u
9
;
u
99
2
Determine
the
v
alues
of
the
terms
u
6
and
u
10
rounded
to
the
nearest
h
undredth.
E.7819
Consider
the
sequence
u
n
defined
for
an
y
natural
or
zero
in
teger
(
n
∈
N
)
v
erifying
:
u
0
=
3
;
u
n
+1
=
2
·
u
n
+
1
Determine
the
first
four
terms
of
the
sequence
u
n
.
2.
R
epr
esentation
E.7821
Consider
a
sequence
u
n
defined
for
an
y
natural
n
um
b
er
n
p
ositiv
e
or
zero
(
n
∈
N
)
.
In
a
reference
frame
are
represen
ted
the
p
oin
ts
with
co
ordinates
(
n
;
u
n
)
for
n
b
et
w
een
0
and
50
:
1
Giv
e
the
exact
v
alues
of
u
0
and
u
10
.
2
Giv
e
appro
ximate
v
alues
of
u
5
,
u
30
and
u
40
.
3
What
can
b
e
said
ab
out
the
v
alues
of
the
terms
u
n
as
the
v
alue
of
n
increases?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7823
sacados/7823
chapExoCorrec/7822
sacados/7822
3
u
0
×
2
u
1
×
2
u
2
×
2
u
3
×
2
u
4
−
2
v
0
v
1
v
2
v
3
v
4
chapExoCorrec/7813
sacados/7813
chapExoCorrec/7820
sacados/7820
chapExoCorrec/7819
sacados/7819
chapExoCorrec/7821
sacados/7821
n
0
10
20
30
40
50
u
n
-2
-1
1
2
3
4
3.
V
ariations
of
arithmetic
se
quenc
es
E.7815
Consider
the
arithmetic
sequence
u
n
of
first
term
5
and
reason
2
.
1
Giv
e
the
first
four
terms
of
the
sequence
u
n
.
2
Express
the
v
alue
of
the
term
u
n
as
a
function
of
its
rank
n
.
3
Justify
that
the
sequence
u
n
is
increasing.
4.
V
ariations
of
ge
ometric
se
quenc
es
E.7816
Consider
the
geometric
sequence
v
n
of
first
term
24
and
reason
1
2
.
1
Giv
e
the
first
four
terms
of
the
sequence
v
n
.
2
Express
the
v
alue
of
the
term
v
n
as
a
function
of
its
rank
n
.
3
Justify
that
the
sequence
v
n
is
decreasing.
5.
Evolution
studies
E.7817
A
compan
y
decides
to
go
public.
When
it
go
es
public,
the
price
of
one
share
is
50
e
.
It
hop
es
that
its
share
price
will
increase
b
y
5
%
p
er
y
ear.
Let
u
0
b
e
the
share
price
when
it
go
es
public
and
u
n
,
for
an
y
strictly
p
ositiv
e
in
teger
n
,
the
share
price
after
n
y
ears.
1
Giv
e
the
nature
and
c
haracteristic
elemen
ts
of
the
se-
quence
u
n
.
2
a
Giv
e
the
explicit
form
ula
for
the
rank
term
n
of
the
sequence
u
n
.
b
Giv
e
the
share
price
after
10
y
ears
3
a
Giv
e
the
direction
of
v
ariation
of
the
sequence
u
n
.
Justify
y
our
answ
er.
b
Using
the
calculator,
determine
after
ho
w
man
y
y
ears
the
share
price
will
exceed
100
e
.
E.7818
The
Asian
elephan
t
sp
ecies
are
endan-
gered.
The
p
opulation
in
2017
is
estimated
at
415
000
indi-
viduals.
The
n
um
b
er
of
elephan
ts
is
estimated
to
decrease
b
y
3
%
p
er
y
ear.
W
e
note
u
n
the
n
um
b
er
of
Asian
elephan
ts
in
the
y
ear
2017+
n
.
1
Giv
e
the
nature
and
c
haracteristic
elemen
ts
of
the
se-
quence
u
n
.
2
a
Giv
e
the
explicit
form
ula
for
the
rank
term
n
of
the
sequence
u
n
.
b
Giv
e
the
n
um
b
er
of
Asian
elephan
ts
in
2020
.
3
a
Giv
e
the
direction
of
v
ariation
of
the
sequence
u
n
.
Justify
y
our
answ
er.
b
Using
the
calculator,
determine
in
whic
h
y
ear
the
n
um-
b
er
of
Asian
elephan
ts
will
b
e
less
than
200
000
.
E.7814
A
w
ebsite
offers
its
subscrib
ers
mo
vies
to
do
wnload.
When
it
op
ens,
500
films
are
offered
and
eac
h
mon
th
the
n
um-
b
er
of
films
offered
to
subscrib
ers
increases
b
y
6
%
.
W
e
mo
del
the
n
um
b
er
of
films
offered
b
y
a
geometric
sequence
u
n
where
n
denotes
the
n
um
b
er
of
mon
ths
since
the
site
op
ened.
W
e
therefore
ha
v
e
u
0
=
500
.
1
Calculate
u
1
and
u
2
and
giv
e
the
result
rounded
to
unit
y
.
2
Express
u
n
as
a
function
of
n
.
3
Determine
the
v
alue
of
the
rank
term
6
rounded
to
unit
y
.
h
ttps:/
/c
hingmath.fr
chapExoCorrec/7815
sacados/7815
chapExoCorrec/7816
sacados/7816
chapExoCorrec/7817
sacados/7817
chapExoCorrec/7818
sacados/7818
chapExoCorrec/7814
sacados/7814
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