APFIVE Properties of a Divergent Geometric Series
I.
In the series $$\sum_{n=1}^{\infty} 2*(1.1)^{n-1}$$, the common ratio is $$1.1$$, which is greater than 1.
II.
A geometric series with $$|r| > 1$$ diverges.
III.
Even though the series diverges, its sum can be computed using $$S = \frac{2}{1-1.1}$$.
Which of the above statements are true?
| n | a_n (where a_n = 2*(1.1)^(n-1)) |
|---|---|
| 1 | 2 |
| 2 | 2.2 |
| 3 | 2.42 |
| 4 | 2.662 |
A
I and II are true
B
I, II, and III are true
C
Only II is true
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