To determine the value of [tex]\( a_{10} \)[/tex] for the sequence defined by [tex]\( a_n = 3n - 5 \)[/tex], we need to substitute [tex]\( n \)[/tex] with 10 in the formula.
1. Start with the sequence formula:
[tex]\[
a_n = 3n - 5
\][/tex]
2. Substitute [tex]\( n = 10 \)[/tex] into the formula:
[tex]\[
a_{10} = 3(10) - 5
\][/tex]
3. Perform the multiplication:
[tex]\[
3 \times 10 = 30
\][/tex]
4. Subtract 5 from the result of the multiplication:
[tex]\[
30 - 5 = 25
\][/tex]
Thus, the value of [tex]\( a_{10} \)[/tex] is:
[tex]\[
\boxed{25}
\][/tex]
