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Byju's Answer
Standard XII
Mathematics
Sequence
Let the seque...
Question
Let the sequence
a
n
be defined as follows:
a
1
=
1
,
a
n
=
a
n
−
1
+
2
for
n
≥
2
Find first five terns.
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Solution
Given,
a
1
=
2
a
n
=
a
n
−
1
+
2
for
n
≥
2
a
2
=
a
1
+
2
=
4
a
3
=
a
2
+
2
=
6
a
4
=
a
3
+
2
=
8
a
5
=
a
4
+
2
=
10
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Similar questions
Q.
Let the sequence
a
n
be defined as follows:
a
1
=
1
,
a
n
=
a
n
−
1
+
2
for
n
≥
2
.
Find first five terms and write corresponding series.
Q.
Let a sequence be defined by
a
1
=
1
,
a
2
=
1
and,
a
n
=
a
n
−
1
+
a
n
−
2
for all
n
>
2
,
find
a
n
+
1
a
n
for
n
=
1
,
2
,
3
,
4
.
Q.
Let < a
n
> be a sequence. Write the first five terms in each of the following:
(i) a
1
= 1, a
n
= a
n
− 1
+ 2, n ≥ 2
(ii) a
1
= 1 = a
2
, a
n
= a
n
− 1
+ a
n
− 2
, n > 2
(iii) a
1
= a
2
= 2, a
n
= a
n
− 1
− 1, n > 2
Q.
Let a sequence be defined by
a
1
=
3
,
a
n
=
3
a
n
−
1
+
1
for all
n
>
1
.
Find the first four terms of the sequence.
Q.
The fibonacci sequence is defined by
a
1
=
1
=
a
2
;
a
n
=
a
n
−
1
+
a
n
−
2
for
n
>
2.
Find
a
n
+
1
a
n
, for
n
=
1
,
2
,
3
,
4
,
5.
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