Suppose the sequence \( \left\{a_{n}\right\} \) is defined by the explicit formula \( a_{n}=\frac{1}{n+10} \), for \( n=0,1,2,3, \ldots \). Write out the first four terms of the sequence. \( a_{0}=\square \) (Simplify your answer.) \( a_{1}=\square \) (Simplify your answer.) \( a_{2}=\square \) (Simplify your answer.) \( a_{3}=\square \) (Simplify your answer.)

To find the first four terms of the sequence defined by \( a_{n} = \frac{1}{n+10} \): 1. For \( n = 0 \): \( a_{0} = \frac{1}{0+10} = \frac{1}{10} \) 2. For \( n = 1 \): \( a_{1} = \frac{1}{1+10} = \frac{1}{11} \) 3. For \( n = 2 \): \( a_{2} = \frac{1}{2+10} = \frac{1}{12} \) 4. For \( n = 3 \): \( a_{3} = \frac{1}{3+10} = \frac{1}{13} \) So, the terms are: - \( a_{0} = \frac{1}{10} \) - \( a_{1} = \frac{1}{11} \) - \( a_{2} = \frac{1}{12} \) - \( a_{3} = \frac{1}{13} \)