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Byju's Answer
Standard IX
Mathematics
Inductive Reasoning
Write the fir...
Question
Write the first five terms of the sequence, whose
n
t
h
terms is
a
n
=
2
n
.
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Solution
Finding sequence.
Given,
a
n
=
2
n
,
n
∈
N
Substituting
n
=
1
,
2
,
3
,
4
and
5
in
a
n
, we get
a
1
=
2
1
⇒
a
1
=
2
a
2
=
2
2
⇒
a
2
=
4
a
3
=
2
3
⇒
a
3
=
8
a
4
=
2
4
⇒
a
4
=
16
a
5
=
2
5
⇒
a
5
=
32
Hence, the first five terms of sequence are
2
,
4
,
8
,
16
and
32
.
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