A sequence can be generated by using \( \quad a_{n}=a_{(n-1)}+4 \) where \( a_{1}=11 \) and \( n \) is a whole number. What are the first four terms in the sequence?

To generate the sequence using the given formula \( a_n = a_{(n-1)} + 4 \) with the initial term \( a_1 = 11 \), we can calculate the first four terms as follows: 1. **First term**: \[ a_1 = 11 \] 2. **Second term**: \[ a_2 = a_{(2-1)} + 4 = a_1 + 4 = 11 + 4 = 15 \] 3. **Third term**: \[ a_3 = a_{(3-1)} + 4 = a_2 + 4 = 15 + 4 = 19 \] 4. **Fourth term**: \[ a_4 = a_{(4-1)} + 4 = a_3 + 4 = 19 + 4 = 23 \] Thus, the first four terms in the sequence are: \[ 11, 15, 19, 23 \]