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Byju's Answer
Standard XII
Mathematics
Common Ratio
If the sum of...
Question
If the sum of the infinity of the series
3
+
5
r
+
7
r
2
+
.... is
44
9
, then find the value of r.
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Solution
Sum of an infinite geometric progression (G.P.)
S
n
=
a
1
−
r
where
(
|
r
|
<
1
)
series:
3
+
5
r
+
7
r
2
+
.
.
.
.
S
n
=
44
9
&
a
=
3
∴
3
1
−
r
=
44
9
1
−
r
=
3
×
9
44
=
27
44
r
=
1
−
27
44
=
17
44
The value of r will be
17
/
44
.
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