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Byju's Answer
Standard VII
Mathematics
Sum of Powers
If 1 + r + ...
Question
If
1
+
r
+
r
2
+
…
.
.
.
+
r
n
=
(
1
+
r
)
(
1
+
r
2
)
(
1
+
r
4
)
(
1
+
r
8
)
,
then the value of
n
is
A
13
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B
14
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C
15
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D
16
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Solution
The correct options are
A
13
D
16
1
+
r
+
r
2
+
.
.
.
.
.
.
.
.
+
r
n
=
(
1
+
r
)
(
1
+
r
2
)
(
1
+
r
4
)
(
1
+
r
8
)
o
r
(
1
−
r
n
1
−
r
)
=
(
1
+
r
)
(
1
+
r
2
)
(
1
+
r
4
)
(
1
+
r
8
)
o
r
1
−
r
n
=
(
1
−
r
)
(
1
+
r
)
(
1
+
r
2
)
(
1
+
r
4
)
(
1
+
r
8
)
1
−
r
n
=
(
1
−
r
2
)
(
1
+
r
2
)
(
1
+
r
4
)
(
1
+
r
8
)
1
−
r
n
=
(
1
−
r
4
)
(
1
+
r
4
)
(
1
+
r
8
)
(
1
−
r
n
)
=
(
1
−
r
8
)
(
1
+
r
8
)
1
−
r
n
=
1
−
r
16
∴
n
=
16
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0
Similar questions
Q.
1
+
r
+
r
2
+
r
3
+
.
.
.
.
.
.
.
+
r
n
=
(
1
+
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)
(
1
+
r
2
)
(
1
+
r
4
)
(
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, then the value of n is :
Q.
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△
A
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,
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(
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r
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+
1
r
2
)
(
1
r
2
+
1
r
3
)
(
1
r
3
+
1
r
1
)
=
K
R
3
a
2
b
2
c
2
,
then
K
has the value equal to
Q.
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Δ
A
B
C
(
1
r
1
+
1
r
2
)
(
1
r
2
+
1
r
3
)
(
1
r
3
+
1
r
1
)
=
K
R
3
a
2
b
2
c
2
then
K
has value equal to?
Q.
(
1
r
1
+
1
r
2
)
(
1
r
2
+
1
r
3
)
(
1
r
3
+
1
r
1
)
=
64
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