6 The table shows information about three geometric series. The three geometric series have different common ratios.
| | | | |
| Series 1 | 1 | 2 | \(n _ { 1 }\) | 1024 |
| Series 2 | 1 | \(r _ { 2 }\) | \(n _ { 2 }\) | 1024 |
| Series 3 | 1 | \(r _ { 3 }\) | \(n _ { 3 }\) | 1024 |
- Find \(n _ { 1 }\).
- Given that \(r _ { 2 }\) is an integer less than 10 , find the value of \(r _ { 2 }\) and the value of \(n _ { 2 }\).
- Given that \(r _ { 3 }\) is not an integer, find a possible value for the sum of all the terms in Series 3 .