Question

An incomplete table of sequences and common ratios is shown
Sequence Common Ratio
3,6,12,24,48…. _________
15,9,

Answer 1

To fill in the table for the sequences, let's analyze each one separately:

1. **First Sequence: 3, 6, 12, 24, 48...**
This sequence is a geometric sequence. To find the common ratio, we divide each term by the previous term:
- 6 / 3 = 2
- 12 / 6 = 2
- 24 / 12 = 2
- 48 / 24 = 2
Thus, the common ratio for this sequence is **2**.

2. **Second Sequence: 15, 9...**
To determine if this sequence is geometric, we again check the ratio between the two provided terms:
- 9 / 15 = 0.6 or 3/5
Thus, if this sequence continues to follow this pattern, the common ratio is **0.6** (or 3/5).

So, the completed table would look like this:

| Sequence | Common Ratio |
|-------------------------|--------------|
| 3, 6, 12, 24, 48... | 2 |
| 15, 9... | 0.6 (or 3/5) |