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Byju's Answer
Standard XII
Mathematics
Proof by mathematical induction
The sum of fi...
Question
The sum of first two terms of an infinite
G
.
P
is
5
and each term is three times the sum of succeeding terms. Find the series.
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Solution
Here
a
+
a
r
=
5
T
p
=
3
(
T
p
+
1
+
T
p
+
2
+
.
.
.
∞
)
∴
a
r
p
−
1
=
3.
a
r
p
1
−
r
∴
1
−
r
=
3
r
or
r
=
1
4
hence
a
=
4
, etc.
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