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Byju's Answer
Standard IX
Mathematics
Addition of Polynomials
Let a0=0 an...
Question
Let
a
0
=
0
and
a
n
=
3
a
n
−
1
+
1
for
n
≥
1
then the remainder obtained on dividing
a
2010
by11 is
A
0
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B
7
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C
3
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D
4
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Solution
The correct option is
D
0
a
0
=
0
a
n
=
3
a
n
−
1
+
1
a
1
=
3
a
0
+
1
=
1
a
2
=
3
a
1
+
1
=
4
a
3
=
3
a
2
+
1
=
12
a
4
=
40
a
5
=
121
Thus if
n
is a multiple of
5
, the term is divisible be
11
2010
is a multiple of 5.
Hence
a
2010
11
will give
0
remainder.
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1
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Q.
Let
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=
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×
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×
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×
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Q.
Let
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a
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=
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a
1
=
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,
a
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Let
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⋅
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+
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=
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1.
Q.
Let
{
a
n
}
be a sequence such that
a
0
=
1
,
a
1
=
0
,
a
n
=
3
a
n
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1
−
2
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If the quotient obtained on dividing
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