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Byju's Answer
Standard XII
Mathematics
Sequence
An ordered se...
Question
An ordered set of number defined as
(
a
n
:
a
n
=
n
2
+
1
,
w
h
e
r
e
n
∈
N
,
n
<
10
}
forms a sequence.
A
True
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B
False
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Similar questions
Q.
An ordered set of number defined as
(
a
n
:
a
n
=
n
2
+
1
,
w
h
e
r
e
n
∈
N
,
n
<
10
}
forms a sequence.
Q.
A mapping
f
:
N
→
N
where N is the set of natural numbers is defined as
f
(
n
)
=
{
n
2
,
f
o
r
n
o
d
d
2
n
+
1
,
f
o
r
n
e
v
e
n
\
.For
n
□
N
.Then f is
Q.
The
n
t
h
term of a sequence of numbers is
a
n
and given by the formula
a
n
=
a
n
−
1
+
2
n
for
n
≥
2
and
a
1
=
1
.
Using the above information
a
n
will be
Q.
Let a sequence
{
a
n
}
be defined by
a
n
=
1
n
+
1
+
1
n
+
2
+
1
n
+
3
+
.
.
.
.
.
+
1
3
n
, then
Q.
The mapping
f
:
N
→
N
given by
f
(
n
)
=
1
+
n
2
,
n
∈
N
where N is the set of natural numbers, is
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