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Question 223 - Algebra Practice | Prasnya
Q223
00:00
26 Nov 2023
Q223.
The value of
1
+
(
1
+
1
3
)
1
4
+
(
1
+
1
3
+
1
9
)
1
16
+
(
1
+
1
3
+
1
9
+
1
27
)
1
64
+
…
1+\left(1+\dfrac13\right)\dfrac14+\left(1+\dfrac13+\dfrac19\right)\dfrac1{16}+\left(1+\dfrac13+\dfrac19+\dfrac1{27}\right)\dfrac1{64}+\ldots
1
+
(
1
+
3
1
)
4
1
+
(
1
+
3
1
+
9
1
)
16
1
+
(
1
+
3
1
+
9
1
+
27
1
)
64
1
+
…
, is
A
27
12
\dfrac{27}{12}
12
27
B
15
8
\dfrac{15}{8}
8
15
C
16
11
\dfrac{16}{11}
11
16
D
15
13
\dfrac{15}{13}
13
15
Save
Check
Details
Q223
00:00
26 Nov 2023
Q223.
The value of
1
+
(
1
+
1
3
)
1
4
+
(
1
+
1
3
+
1
9
)
1
16
+
(
1
+
1
3
+
1
9
+
1
27
)
1
64
+
…
1+\left(1+\dfrac13\right)\dfrac14+\left(1+\dfrac13+\dfrac19\right)\dfrac1{16}+\left(1+\dfrac13+\dfrac19+\dfrac1{27}\right)\dfrac1{64}+\ldots
1
+
(
1
+
3
1
)
4
1
+
(
1
+
3
1
+
9
1
)
16
1
+
(
1
+
3
1
+
9
1
+
27
1
)
64
1
+
…
, is
A
27
12
\dfrac{27}{12}
12
27
B
15
8
\dfrac{15}{8}
8
15
C
16
11
\dfrac{16}{11}
11
16
D
15
13
\dfrac{15}{13}
13
15
Save
Check
Details