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Byju's Answer
Standard XI
Mathematics
Sequence
Let be a sequ...
Question
Let < a
n
> be a sequence defined by
a
1
= 3
and, a
n
= 3a
n
− 1
+ 2, for all n > 1
Find the first four terms of the sequence.
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Solution
Given:
a
1
= 3
And, a
n
= 3a
n
− 1
+ 2 for all n > 1
a
2
=
3
a
2
-
1
+
2
=
3
a
1
+
2
=
11
a
3
=
3
a
3
-
1
+
2
=
3
a
2
+
2
=
35
a
4
=
3
a
4
-
1
+
2
=
3
a
3
+
2
=
107
Thus
,
the
first
four
terms
of
the
sequence
are
3
,
11
,
35
,
107
.
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