a (n) = -5 + 6(n - 1)

Find the 12th term in the sequence.

1 answer

To find the 12th term of the sequence defined by the formula \( a(n) = -5 + 6(n - 1) \), we can substitute \( n = 12 \) into the formula.

\[ a(12) = -5 + 6(12 - 1) \]

First, calculate \( 12 - 1 \):

\[ 12 - 1 = 11 \]

Now, substitute this back into the formula:

\[ a(12) = -5 + 6 \times 11 \]

Next, compute \( 6 \times 11 \):

\[ 6 \times 11 = 66 \]

Now, substitute this value back:

\[ a(12) = -5 + 66 \]

Finally, compute \( -5 + 66 \):

\[ -5 + 66 = 61 \]

Therefore, the 12th term in the sequence is

\[ \boxed{61} \]