Sure, let's solve the problem step-by-step.
Given the expression for [tex]\( a_n \)[/tex] is:
[tex]\[ a_n = 7n - 10 \][/tex]
We need to find [tex]\( a_n \)[/tex] when [tex]\( n = 27 \)[/tex].
1. Start by substituting [tex]\( n = 27 \)[/tex] into the expression:
[tex]\[ a_n = 7(27) - 10 \][/tex]
2. Calculate the value inside the parentheses first:
[tex]\[ 7 \times 27 = 189 \][/tex]
3. Now, subtract 10 from 189:
[tex]\[ 189 - 10 = 179 \][/tex]
Therefore, the value of [tex]\( a_n \)[/tex] when [tex]\( n = 27 \)[/tex] is:
[tex]\[ a_n = 179 \][/tex]
