Here's an example API query for the Alpha Vantage API that returns the Bollinger Bands calculated over a week and returns the last 5 data points for the symbol "IBM":

```python
import requests

url = "https://www.alphavantage.co/query"
params = {
    "function": "BBANDS",
    "symbol": "IBM",
    "interval": "weekly",
    "time_period": 7,
    "series_type": "close",
    "apikey": "YOUR_API_KEY"
}

response = requests.get(url, params=params)

if response.status_code == 200:
    data = response.json()
    last_five_data_points = data["Technical Analysis: BBANDS"]
    last_five_data_points = list(last_five_data_points.items())[:5]
    print(last_five_data_points)
else:
    print("Error: ", response.status_code)
```

Note that you will need to replace "YOUR_API_KEY" with your actual Alpha Vantage API key. Also, make sure to install the `requests` library before running this code.
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