Solve the Recurrence Relation Either by Using the Characteristic Equation $$a _ { n } = a _ { n - 1 } + 2 n + 1 , \quad a _ { 0 } = 5$$

Short Answer

solve the recurrence relation either by using the characteristic equation or by discovering a pattern formed by the terms.
- $$a _ { n } = a _ { n - 1 } + 2 n + 1 , \quad a _ { 0 } = 5$$