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Byju's Answer
Standard X
Mathematics
Arithmetic Progression
Check if the ...
Question
Check if the series is an AP. Find the common difference
d
and write three more terms of the the following series.
2
,
4
,
8
,
16
,
.
.
.
.
A
Common difference:
2
and Other three terms are:
32
,
64
,
128
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B
Common difference:
4
and Other three terms are:
24
,
32
,
40
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C
Common difference:
8
and Other three terms are:
20
,
24
,
28
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D
None of these
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Solution
The correct option is
A
None of these
Given series is
2
,
4
,
8
,
16
,
.
.
.
.
.
In an AP series, the difference between the consecutive terms remain same:
a
2
−
a
1
=
4
−
2
=
2
a
3
−
a
2
=
8
−
4
=
4
a
3
−
a
2
≠
a
2
−
a
1
This shows that the difference of a term and the preceding terms is not always same. Hence, the given sequence is not an AP.
Suggest Corrections
0
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