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Byju's Answer
Standard X
Mathematics
Common Difference
Question 1 vi...
Question
Question 1 (vi)
Which of the following form an AP? Justify your answer.
2
,
2
2
,
2
3
,
2
4
,
.
.
.
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Solution
Given series is :
2
,
2
2
,
2
3
,
2
4
,
⋯
i
.
e
.
2
,
4
,
8
,
16
,
⋯
Here,
t
1
=
2
,
t
2
=
4
,
t
3
=
8
a
n
d
t
4
=
16
t
2
−
t
1
=
4
−
2
=
2
t
3
−
t
2
=
8
−
4
=
4
t
4
−
t
3
=
16
−
8
=
8
Clearly, the difference between the successive terms is not the same.
Therefore, the given numbers do not form an AP.
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