Question

ak=-6+(k-1) 12th term

Answer 1

To find the 12th term of the sequence defined by the formula \( a_k = -6 + (k - 1) \cdot 12 \), we can substitute \( k = 12 \) into the formula.

\[
a_{12} = -6 + (12 - 1) \cdot 12
\]

Now, calculate \( 12 - 1 \):

\[
12 - 1 = 11
\]

Now substitute this back into the equation:

\[
a_{12} = -6 + 11 \cdot 12
\]

Next, calculate \( 11 \cdot 12 \):

\[
11 \cdot 12 = 132
\]

Now substitute this into the equation for \( a_{12} \):

\[
a_{12} = -6 + 132
\]

Finally, calculate \( -6 + 132 \):

\[
a_{12} = 126
\]

Thus, the 12th term \( a_{12} = 126 \).