What is the pattern in the sequence: 3, 4, 7, 12, 19, 28, ...

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justaguide eNotes educator| Certified Educator

The sequence given consists of the numbers 3, 4, 7, 12, 19, 28, ...

4 - 3 = 1, 7 - 4 = 3, 12 - 7 = 5 , 19 - 12 = 7, 28 - 19 = 9

`T_(n+1) - T_n = 2*n - 1`

The terms of the series are related by `T_(n+1) - T_n = 2*n - 1`

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