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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
Identify the ...
Question
Identify the term that will replace the ?
2
,
−
6
,
18
,
−
54
,
162
,
?
A
486
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B
−
486
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C
422
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D
−
428
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E
420
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Solution
The correct option is
B
−
486
The series follow a sequence,
2
×
−
3
=
−
6
,
−
6
×
(
−
3
)
=
18
,
18
×
(
−
3
)
=
−
54
,
−
54
×
(
−
3
)
=
162
and
162
×
(
−
3
)
=
−
486
.
Hence, complete series is
2
,
−
6
,
18
,
−
54
,
162
,
−
486
Thus,
−
486
replaces question mark.
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