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Byju's Answer
Standard VIII
Mathematics
Addition of Odd Numbers to Get Squares
Find the sum ...
Question
Find the sum of the first
15
terms of the following sequence having
n
th term as
a
n
=
3
+
4
n
A
525
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B
563
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C
184
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D
189
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Solution
The correct option is
A
525
a
n
=
3
+
4
n
(Given)
Now,
a
1
=
3
+
4
×
1
=
7
a
2
=
3
+
4
×
2
=
11
a
3
=
3
+
4
×
3
=
15
So the series is
The sum of first is turns is
S
n
=
n
2
[
2
a
+
(
n
−
1
)
d
]
a
=
7
,
n
=
15
,
d
=
4
S
n
=
15
2
[
2
×
7
+
(
15
−
1
)
.4
]
S
n
=
15
2
[
14
+
56
]
S
n
=
15
×
70
2
S
n
=
15
×
35
S
n
=
525
The sum of first
15
terms of given series is
S
n
=
525
Suggest Corrections
0
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