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Tardigrade
Question
Mathematics
The value of displaystyle∑n=1∞ (5n-2n/10n) is equal to
Q. The value of
n
=
1
∑
∞
1
0
n
5
n
−
2
n
is equal to
254
94
Sequences and Series
Report Error
A
1
B
4
1
C
3
1
D
4
3
Solution:
n
=
1
∑
∞
1
0
n
5
n
−
2
n
=
n
=
1
∑
∞
(
1
0
n
5
n
−
1
0
n
2
n
)
=
n
=
1
∑
∞
(
2
1
)
n
−
(
5
1
)
n
the difference between two infinite geometric sequences
=
1
−
2
1
2
1
−
1
−
5
1
5
1
=
1
−
4
1
=
4
3