Question

41,29,16,5…
Exponential
Geometric
Arithmetic

Answer 1

41,29,17,5….

Answer 2

The sequence given is 41, 29, 16, 5.

Let's examine the pattern:

1. **Finding the Differences:**
- 29 - 41 = -12
- 16 - 29 = -13
- 5 - 16 = -11

The differences are: -12, -13, -11. Since the differences are not consistent, this is not an arithmetic sequence.

2. **Ratio of Consecutive Terms:**
- 29 / 41 ≈ 0.707
- 16 / 29 ≈ 0.552
- 5 / 16 = 0.3125

The ratios are not constant, so this is not a geometric sequence.

3. **Exponential:**
- Exponential sequences have a specific form, typically akin to \(a \cdot r^n\). In this case, we can see that the numbers are not following an exponential growth or decay.

### Conclusion:
The sequence does not fit the categories of exponential, geometric, or arithmetic sequences as defined. It may represent a more complex mathematical relationship. However, mainly it is neither of the given options. If you need further analysis or a specific classification, please provide additional context.

Answer 3

Let's analyze the new sequence you provided: 41, 29, 17, 5.

1. **Finding the Differences:**
- 29 - 41 = -12
- 17 - 29 = -12
- 5 - 17 = -12

The difference between consecutive terms is consistently -12.

This indicates that the sequence is an **arithmetic sequence** with a common difference of -12.

### Summary:
The sequence 41, 29, 17, 5 is an **arithmetic sequence**.