If the first term of an infinite G.P is 8 and its sum to infinity is 323 then find the common ratio.
Answers
Answered by
1
Answer:
Let r be the common ratio.
Given, S
∞
=S=
1−r
a
⇒1−r=
S
a
⇒r=1−
S
a
Now, sum of n terms is given by
S
n
=
1−r
a(1−r
n
)
=
1−(1−
S
a
)
a(1−(1−
S
a
)
n
)
=
S
a
a(1−(1−
S
a
)
n
)
=S[1−(1−
S
a
)
n
]
Option B is correct.
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