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Byju's Answer
Standard X
Mathematics
Sum of Infinite Terms of a GP
If x=1+y+y2...
Question
If
x
=
1
+
y
+
y
2
+
.
.
.
.
.
.
.
∞
then the value of
y
is
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Solution
Given,
x
=
1
+
y
+
y
2
+
.
.
.
.
.
∞
or,
x
=
1
1
−
y
for
|
y
|
<
1
or,
1
−
y
=
1
x
or,
y
=
x
x
−
1
.
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Similar questions
Q.
If
x
2
=
y
+
z
,
y
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=
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,
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=
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, then the value of
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+
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is
Q.
If x is very large compared to y, then the value of k if
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___
Q.
If
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+
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+
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Q.
If
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, then the value of
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Q.
If
x
,
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z
satisfies the equations
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+
log
(
x
+
√
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2
+
1
)
=
y
y
+
log
(
y
+
√
y
2
+
1
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2
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