Is this sentence true or false? 2(x+8) = 2x - 8
2 answers:
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Answer:
OPTION B
Step-by-step explanation:
Geometric series :
where is the first term of the series and
is common difference.
A geometric series is convergent if |r| < 1.
It is divergent otherwise.
Since the first term of the series is a and the second term is ar, the ration of second term and first term, = r.
OPTION A:
.
Here, and
r > 1. So, this series is divergent.
OPTION B:
a = 1; ar = .
.
Since, r < 1, we can say that the series is convergent.
OPTION C:
We can easily see that |r| =4. So, it is not convergent.
OPTION D:
Again |r| = 2. So, the series should be divergent.