To find the 12th term of the sequence whose nth term is given by the formula [tex]\( a_n = 3n + 4 \)[/tex], follow these step-by-step instructions:
1. Identify the formula for the nth term of the sequence, which is given as:
[tex]\[
a_n = 3n + 4
\][/tex]
2. To find the 12th term of the sequence, substitute [tex]\( n = 12 \)[/tex] into the formula. This means we will replace every [tex]\( n \)[/tex] in the formula with 12.
3. Substitute [tex]\( n = 12 \)[/tex] into the formula:
[tex]\[
a_{12} = 3(12) + 4
\][/tex]
4. Perform the multiplication inside the parentheses first:
[tex]\[
3 \cdot 12 = 36
\][/tex]
5. Add the result of the multiplication to 4:
[tex]\[
36 + 4 = 40
\][/tex]
So, the 12th term of the sequence is:
[tex]\[
a_{12} = 40
\][/tex]
