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Tardigrade
Question
Mathematics
The value of displaystyle∑k=111(2+3k) is
Q. The value of
k
=
1
∑
11
(
2
+
3
k
)
is
16
172
Sequences and Series
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A
2
3
(
3
11
−
1
)
+
33
B
2
3
(
3
10
+
1
)
+
22
C
2
3
(
3
11
+
1
)
+
33
D
2
3
(
3
11
−
1
)
+
22
Solution:
k
=
1
∑
11
2
+
k
=
1
∑
11
3
k
=
2
×
11
+
(
3
1
+
3
2
+
3
3
+
⋯
+
3
11
)
=
22
+
3
−
1
3
(
3
11
−
1
)
=
22
+
2
3
(
3
11
−
1
)
[
∵
S
n
=
r
−
1
a
(
r
n
−
1
)
as
r
>
1
]