To find [tex]\( a_4 \)[/tex] for the expression [tex]\( a_n = 5n - 7 \)[/tex], follow these steps:
1. Identify the value of [tex]\( n \)[/tex] given in the problem. Here, [tex]\( n = 4 \)[/tex].
2. Substitute [tex]\( n = 4 \)[/tex] into the expression [tex]\( a_n = 5n - 7 \)[/tex].
3. Perform the substitution:
[tex]\[
a_4 = 5(4) - 7
\][/tex]
4. Compute the value inside the parentheses:
[tex]\[
5 \times 4 = 20
\][/tex]
5. Subtract 7 from the result obtained in step 4:
[tex]\[
20 - 7 = 13
\][/tex]
Thus, [tex]\( a_4 = 13 \)[/tex]. The correct answer is 13.
