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Byju's Answer
Standard XII
Mathematics
Proof by mathematical induction
Find the anal...
Question
Find the analogous pair for
(
2
,
5
,
15
)
from the given alternatives.
A
(
7
,
10
,
13
)
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B
(
3
,
8
,
24
)
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C
(
3
,
6
,
18
)
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D
(
4
,
5
,
9
)
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Solution
The correct option is
C
(
3
,
8
,
24
)
The given triplet is
(
2
,
5
,
15
)
Here second number is one less than the three times of first number and the third number is three times the second number.Mathematically,
⇒
(
3
×
2
)
−
1
=
5
and
3
×
5
=
15
A similar relation exists in the option
B
, where
⇒
(
3
×
3
)
−
1
=
8
and
3
×
8
=
24
Hence the correct answer is option
B
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