Answer:
33.00
Explanation:
We are given the following information:
This is an arithmetic sequence
The first term is 24
The common difference is 1/2
The formula for an arithmetic sequence is given by:
[tex]\begin{gathered} a_n=a+(n-1)d \\ a=24 \\ d=\frac{1}{2} \\ \text{For the 19th term,} \\ n=19 \\ \text{Substitute these values into the formula, we have:} \\ a_{19}=24+(19-1)\cdot\frac{1}{2} \\ a_{19}=24+18(\frac{1}{2}) \\ a_{19}=24+9 \\ a_{19}=33=33.00 \\ \\ \therefore a_{19}=33.00 \end{gathered}[/tex]Therefore, the 19th term in the sequence is 33.00
