To find [tex]\(a_{10}\)[/tex] given the formula [tex]\(a_n = \frac{n+2}{4}\)[/tex], we need to substitute [tex]\(n = 10\)[/tex] into the formula. Here are the steps:
1. Start with the formula for [tex]\(a_n\)[/tex]:
[tex]\[
a_n = \frac{n+2}{4}
\][/tex]
2. Substitute [tex]\(n = 10\)[/tex] into the formula:
[tex]\[
a_{10} = \frac{10 + 2}{4}
\][/tex]
3. Next, perform the addition inside the numerator:
[tex]\[
10 + 2 = 12
\][/tex]
4. Now we have:
[tex]\[
a_{10} = \frac{12}{4}
\][/tex]
5. Finally, divide the numerator by the denominator:
[tex]\[
\frac{12}{4} = 3
\][/tex]
Therefore, the value of [tex]\(a_{10}\)[/tex] is [tex]\(3.0\)[/tex].
