Answer:
Option (4)
Step-by-step explanation:
Given sequence is,
We can rewrite this sequence as,
There is a common ratio between the successive term and the previous term,
r =
r =
Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.
Since sum of infinite geometric sequence is represented by the formula,
, when r < 1
where 'a' = first term of the sequence
r = common ratio
Since common ratio of the given infinite series is greater than 1 which makes the series divergent.
Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.
Option (4) will be the answer.