Prasnya
Prasnya
Prasnya
Continue with Google
Question 57 - Algebra Practice | Prasnya
Q57
00:00
24 Nov 2024
Q57.
The sum of the infinite series
1
5
(
1
5
−
1
7
)
+
(
1
5
)
2
[
(
1
5
)
2
−
(
1
7
)
2
]
+
(
1
5
)
3
[
(
1
5
)
3
−
(
1
7
)
3
]
+
⋯
\dfrac{1}{5}\left(\dfrac{1}{5}-\dfrac{1}{7}\right)+\left(\dfrac{1}{5}\right)^2\left[\left(\dfrac{1}{5}\right)^2-\left(\dfrac{1}{7}\right)^2\right]+\left(\dfrac{1}{5}\right)^3\left[\left(\dfrac{1}{5}\right)^3-\left(\dfrac{1}{7}\right)^3\right]+\cdots
5
1
(
5
1
−
7
1
)
+
(
5
1
)
2
[
(
5
1
)
2
−
(
7
1
)
2
]
+
(
5
1
)
3
[
(
5
1
)
3
−
(
7
1
)
3
]
+
⋯
is equal to
A
5
408
\dfrac{5}{408}
408
5
B
7
816
\dfrac{7}{816}
816
7
C
7
408
\dfrac{7}{408}
408
7
D
5
816
\dfrac{5}{816}
816
5
Save
Check
Details
Q57
00:00
24 Nov 2024
Q57.
The sum of the infinite series
1
5
(
1
5
−
1
7
)
+
(
1
5
)
2
[
(
1
5
)
2
−
(
1
7
)
2
]
+
(
1
5
)
3
[
(
1
5
)
3
−
(
1
7
)
3
]
+
⋯
\dfrac{1}{5}\left(\dfrac{1}{5}-\dfrac{1}{7}\right)+\left(\dfrac{1}{5}\right)^2\left[\left(\dfrac{1}{5}\right)^2-\left(\dfrac{1}{7}\right)^2\right]+\left(\dfrac{1}{5}\right)^3\left[\left(\dfrac{1}{5}\right)^3-\left(\dfrac{1}{7}\right)^3\right]+\cdots
5
1
(
5
1
−
7
1
)
+
(
5
1
)
2
[
(
5
1
)
2
−
(
7
1
)
2
]
+
(
5
1
)
3
[
(
5
1
)
3
−
(
7
1
)
3
]
+
⋯
is equal to
A
5
408
\dfrac{5}{408}
408
5
B
7
816
\dfrac{7}{816}
816
7
C
7
408
\dfrac{7}{408}
408
7
D
5
816
\dfrac{5}{816}
816
5
Save
Check
Details
