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Tardigrade
Question
Mathematics
The sum 5 displaystyle∑ n =1∞ (2 n +2/4 n -2) is equal to
Q. The sum
5
n
=
1
∑
∞
4
n
−
2
2
n
+
2
is equal to
290
89
Sequences and Series
Report Error
A
1372
B
440
C
320
D
388
Solution:
T
n
=
4
n
⋅
4
−
2
5
⋅
2
n
⋅
2
2
=
(
2
1
)
n
5
⋅
16
⋅
4
;
∴
S
=
320
n
=
1
∑
∞
(
2
1
)
n
=
320