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Byju's Answer
Standard X
Mathematics
Sum of n Terms
zwnj;in a g.p...
Question
in a g.p. of positive terms. Any term is equal to the sum of next two terms .find common ratio
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Solution
Dear student
Let
the
series
a
,
ar
,
ar
2
,
.
.
.
.
are
in
Geometric
progression
Given
a
=
ar
+
ar
2
⇒
ar
2
+
ar
-
a
=
0
⇒
r
2
+
r
-
1
=
0
⇒
r
=
-
1
±
1
2
-
4
1
-
1
2
⇒
r
=
-
1
±
1
+
4
2
⇒
r
=
-
1
±
5
2
⇒
r
=
5
-
1
2
or
r
=
-
5
-
1
2
⇒
r
=
5
-
1
2
∵
terms
of
a
G
.
P
are
positive
∴
r
should
be
positive
Regards
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