a,a²,a³....are in G.P then r is=
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Answer:
common ratio=r
a
n
=a
1
r
n−1
a
k
2
−a
k+1
2
1
=
a
1
r
2k−1
−a
1
r
2k
1
=
a
1
r
2k−2
(1−r
2
)
1
∑
k=1
10
.
a
k
2
−a
k+1
2
1
=
a
1
(1−r
2
)
1
[1+
r
2
1
+1
r
4
1
+....+
r
18
1
]
=
a
1
(1−r
2
)
1
(1−
r
2
1
)
(1−(
r
2
1
)
10
)
=
a
1
(1−r
2
)
2
.r
18
−(r
20
−1)
=
a
1
(1−r
2
)
2
.r
18
(1−r
20
)
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