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Byju's Answer
Standard XI
Mathematics
Nth Term of GP
Let a1, a2, …...
Question
Let
a
1
,
a
2
,
…
,
a
10
be a G.P. If
a
3
a
1
=
25
, then
a
9
a
5
equals:
A
2
(
5
)
2
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B
4
(
5
2
)
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C
5
3
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D
5
4
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Solution
The correct option is
D
5
4
a
3
a
1
=
25
⇒
a
r
2
a
=
25
⇒
r
2
=
25
∴
a
9
a
5
=
a
r
8
a
r
4
=
r
4
=
25
2
=
5
4
Suggest Corrections
3
Similar questions
Q.
Let
a
1
,
a
2
,
.
.
.
.
.
,
a
10
be a G.P. If
a
3
a
1
=
25
, then
a
9
a
5
equals:
Q.
Let
a
1
,
a
2
,
…
,
a
10
be a G.P. If
a
3
a
1
=
25
, then
a
9
a
5
equals:
Q.
If
a
,
a
1
,
a
2
.
.
.
.
.
.
.
.
.
.
.
.
.
a
10
,
b
are in A.P. and
a
,
g
1
,
g
2
.
.
.
.
.
.
g
10
,
b
are in G.P. and
h
is the H.M between
a
and
b
, then
a
1
+
a
2
+
.
.
.
.
.
.
.
.
.
+
a
10
g
1
g
10
+
a
2
+
a
3
+
.
.
.
.
.
.
.
.
.
+
a
9
g
2
g
9
+
.
.
.
.
.
.
.
.
.
.
.
+
a
5
+
a
6
g
5
g
6
is
Q.
If
a
1
,
a
2
,
a
3
,
.
.
.
.
are in A.P. such that
a
1
,
a
5
,
a
10
+
a
15
+
a
20
+
a
24
=
225
, then
a
1
+
a
2
+
a
3
+
.
.
.
+
a
24
is equal to
Q.
If
a
1
,
a
2
,
a
3
,
.
.
.
.
.
.
.
.
i
s
a
n
A
.
P
.
s
u
c
h
t
h
a
t
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225
then
a
1
+
a
2
+
a
3
+
.
.
.
.
.
.
.
+
a
23
+
a
24
i
s
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Standard XI Mathematics
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