Properties of a Geometric Sequence
I. The 4th term of the geometric sequence is $$g_4 = 4*(0.5)^4 = 0.25$$.
II. The sequence is decreasing.
III. The sum to infinity of the sequence is given by $$S_\infty = \frac{4}{1-0.5} = 8$$.
Which of the above statements are true?
| Term Index | Term |
|---|---|
| 0 | 4 |
| 1 | 2 |
| 2 | 1 |
| 3 | 0.5 |
| 4 | 0.25 |
A
Only Statement I is true.
B
Only Statements I and II are true.
C
All three statements are true.
D
Only Statements I and III are true.
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