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Byju's Answer
Standard X
Mathematics
Infinite GP
Sum of infini...
Question
Sum of infinite number of terms in G.P. is 20 and sum of their square is 100. The common ratio of G.P. is
[AIEEE 2002]
A
5
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B
3/5
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C
8/5
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D
1/5
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Solution
The correct option is
B
3/5
a
1
−
r
=
20
......... (i)
a
2
1
−
r
2
=
100
......... (ii)
From (i) and (ii),
a
1
+
r
=
5
,
[
∵
a = 20(1 - r) by (i)]
⇒
20
(
1
−
r
)
1
+
r
=
5
⇒
5
r
=
3
⇒
r
=
3
/
5.
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