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Byju's Answer
Standard XII
Mathematics
nth Term of A.P
If a1=2, a2...
Question
If
a
1
=
2
,
a
2
=
3
+
a
1
and
a
n
=
2
a
n
−
1
+
5
for
n
>
1
, the value of
∑
5
r
=
2
a
r
is
A
130
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B
160
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C
190
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D
220
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Solution
The correct option is
A
130
a
1
=
2
a
2
=
3
+
a
1
=
5
a
n
=
2
a
n
−
1
+
5
∴
a
3
=
2
a
2
+
5
=
15
a
4
=
2
×
a
3
+
5
=
35
a
5
=
2
×
a
4
+
5
=
75
∴
5
∑
r
=
2
a
r
=
a
2
+
a
3
+
a
4
+
a
5
=
5
+
15
+
35
+
75
=
130
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0
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Standard XII Mathematics
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