if the 7th term of a GP is 8times the fourth term and the fifth term is 48 then the first term is
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Answer:
Let a be the first term and r be the common ratio.
∴
a
7
=
8
a
4
a
n
d
a
5
=
48
⇒
a
r
6
=
8
a
r
3
a
n
d
a
r
4
=
48
⇒
r
3
=
8
⇒
r
3
=
2
3
⇒
r
=
2
Putting
r
=
2
i
n
a
r
4
=
48
a
(
2
)
4
=
48
⇒
a
=
3
Thus, the given G.P. is 3, 6, 12, ..
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