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Byju's Answer
Standard XII
Mathematics
Geometric Progression
Identify the ...
Question
Identify the type of the following sequence:
1
2
1
+
5
2
11
+
9
2
11
2
+
13
2
11
3
+
.
.
.
.
.
.
.
A
AP
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B
GP
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C
AGP
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D
None of these
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Solution
The correct option is
C
None of these
T
n
=
(
1
+
(
n
−
1
)
4
)
2
11
n
−
1
=
(
4
n
−
3
)
2
11
n
−
1
S
=
∑
∞
i
=
1
T
n
=
∑
∞
i
=
1
(
4
n
−
3
)
2
11
n
−
1
This is not the general term for any sequence.
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0
Similar questions
Q.
Observe the following pattern
1
2
=
1
6
1
×
1
+
1
×
2
×
1
+
1
1
2
+
2
2
=
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6
2
×
2
+
1
×
2
×
2
+
1
1
2
+
2
2
+
3
2
=
1
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3
×
3
+
1
×
2
×
3
+
1
1
2
+
2
2
+
3
2
+
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2
=
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4
+
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×
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+
1
and find the values of each of the following:
(i) 1
2
+ 2
2
+ 3
2
+ 4
2
+ ... + 10
2
(ii) 5
2
+ 6
2
+ 7
2
+ 8
2
+ 9
2
+ 10
2
+ 11
2
+ 12
2
Q.
Evaluate:
1
1
2
+
1
1
3
+
1
1
4
+
…
+
1
1
19
=
Q.
Express the following as a sum of consecutive odd numbers starting with
1
(i)
7
2
(ii)
9
2
(iii)
5
2
(iv)
11
2
Q.
The sum of the series
1
+
2
11
+
5
11
2
+
10
11
3
+
17
11
4
+
.
.
is
Q.
Identify the type of the following sequence:
∞
∑
i
=
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i
7
i
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