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AP ICET 2017 Shift 1 Paper
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© examsnet.com
Question : 128
Total: 200
If the sum to 2n terms of the arithmetic progression 2. 5. 8.....Is equal to the sum to n terms of the arithmetic progression is 57. 59. 61...... then n=
10
11
12
13
Validate
Solution:
S
N
=
n
2
[
2
a
+
(
n
−
1
)
d
]
According to the question,
2
n
2
[
2
×
2
+
(
2
n
−
1
)
3
]
=
n
2
[
2
×
57
+
(
n
−
1
)
2
]
⇒
2
[
4
+
6
n
−
3
]
=
[
114
+
2
n
−
2
]
⇒
2
+
12
n
=
112
+
2
n
⇒
10
n
=
110
∴
n
=
11
© examsnet.com
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