------
## 最终结论
```python
def add_consecutive_nums(nums):
    result = []
    for i in range(len(nums) - 1):
        result.append(nums[i] + nums[i + 1])
    return result

# Test cases
assert add_consecutive_nums([1, 1, 3, 4, 4, 5, 6, 7]) == [2, 4, 7, 8, 9, 11, 13]
assert add_consecutive_nums([4, 5, 8, 9, 6, 10]) == [9, 13, 17, 15, 16]
assert add_consecutive_nums([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) == [3, 5, 7, 9, 11, 13, 15, 17, 19]
```